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1120132020 = 223576143721
BaseRepresentation
bin100001011000011…
…1101101110110100
32220001201121021010
41002300331232310
54243223211040
6303052152220
736520652010
oct10260755664
92801647233
101120132020
11525315847
12273168670
1314b0ac217
14a8a9d540
1568510e80
hex42c3dbb4

1120132020 has 96 divisors (see below), whose sum is σ = 3643266816. Its totient is φ = 251827200.

The previous prime is 1120132019. The next prime is 1120132037. The reversal of 1120132020 is 202310211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1120131987 and 1120132005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3760 + ... + 47480.

It is an arithmetic number, because the mean of its divisors is an integer number (37950696).

Almost surely, 21120132020 is an apocalyptic number.

1120132020 is a gapful number since it is divisible by the number (10) 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 1120132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821633408).

1120132020 is an abundant number, since it is smaller than the sum of its proper divisors (2523134796).

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

1120132020 is a wasteful number, since it uses less digits than its factorization.

1120132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43801 (or 43799 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1120132020 is about 33468.3734292541. The cubic root of 1120132020 is about 1038.5396231165.

Adding to 1120132020 its reverse (202310211), we get a palindrome (1322442231).

The spelling of 1120132020 in words is "one billion, one hundred twenty million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 61 70 84 105 122 140 183 210 244 305 366 420 427 610 732 854 915 1220 1281 1708 1830 2135 2562 3660 4270 5124 6405 8540 12810 25620 43721 87442 131163 174884 218605 262326 306047 437210 524652 612094 655815 874420 918141 1224188 1311630 1530235 1836282 2623260 2666981 3060470 3672564 4590705 5333962 6120940 8000943 9181410 10667924 13334905 16001886 18362820 18668867 26669810 32003772 37337734 40004715 53339620 56006601 74675468 80009430 93344335 112013202 160018860 186688670 224026404 280033005 373377340 560066010 1120132020