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1131420528 = 243371372731
BaseRepresentation
bin100001101110000…
…0001101101110000
32220211222010012000
41003130001231300
54304120424103
6304134134000
740015626060
oct10334015560
92824863160
101131420528
11530725a97
12276ab1300
13150532404
14aa39b3a0
15694e0aa3
hex43701b70

1131420528 has 160 divisors (see below), whose sum is σ = 3739998720. Its totient is φ = 320785920.

The previous prime is 1131420517. The next prime is 1131420539. The reversal of 1131420528 is 8250241311.

1131420528 is a `hidden beast` number, since 1 + 131 + 4 + 2 + 0 + 528 = 666.

It is an interprime number because it is at equal distance from previous prime (1131420517) and next prime (1131420539).

It is a super-2 number, since 2×11314205282 = 2560224822359597568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412923 + ... + 415653.

It is an arithmetic number, because the mean of its divisors is an integer number (23374992).

Almost surely, 21131420528 is an apocalyptic number.

1131420528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131420528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869999360).

1131420528 is an abundant number, since it is smaller than the sum of its proper divisors (2608578192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1131420528 is a wasteful number, since it uses less digits than its factorization.

1131420528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2892 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1131420528 is about 33636.5950714397. The cubic root of 1131420528 is about 1042.0167130017.

Adding to 1131420528 its reverse (8250241311), we get a palindrome (9381661839).

The spelling of 1131420528 in words is "one billion, one hundred thirty-one million, four hundred twenty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 137 144 168 189 216 252 274 336 378 411 432 504 548 756 822 959 1008 1096 1233 1512 1644 1918 2192 2466 2731 2877 3024 3288 3699 3836 4932 5462 5754 6576 7398 7672 8193 8631 9864 10924 11508 14796 15344 16386 17262 19117 19728 21848 23016 24579 25893 29592 32772 34524 38234 43696 46032 49158 51786 57351 59184 65544 69048 73737 76468 98316 103572 114702 131088 138096 147474 152936 172053 196632 207144 229404 294948 305872 344106 374147 393264 414288 458808 516159 589896 688212 748294 917616 1032318 1122441 1179792 1376424 1496588 2064636 2244882 2619029 2752848 2993176 3367323 4129272 4489764 5238058 5986352 6734646 7857087 8258544 8979528 10101969 10476116 13469292 15714174 17959056 20203938 20952232 23571261 26938584 31428348 40407876 41904464 47142522 53877168 62856696 70713783 80815752 94285044 125713392 141427566 161631504 188570088 282855132 377140176 565710264 1131420528