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1131706324 = 227291917297
BaseRepresentation
bin100001101110100…
…0111011111010100
32220212111122020001
41003131013133110
54304204100244
6304144221044
740021226230
oct10335073724
92825448201
101131706324
11530900791
1227700a784
13150602518
14aa4335c0
156954a5d4
hex437477d4

1131706324 has 48 divisors (see below), whose sum is σ = 2354042880. Its totient is φ = 465776640.

The previous prime is 1131706319. The next prime is 1131706327. The reversal of 1131706324 is 4236071311.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1131706292 and 1131706301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131706327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151444 + ... + 158740.

It is an arithmetic number, because the mean of its divisors is an integer number (49042560).

Almost surely, 21131706324 is an apocalyptic number.

1131706324 is a gapful number since it is divisible by the number (14) 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 1131706324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177021440).

1131706324 is an abundant number, since it is smaller than the sum of its proper divisors (1222336556).

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

1131706324 is a wasteful number, since it uses less digits than its factorization.

1131706324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7528 (or 7526 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 1131706324 is about 33640.8430928834. The cubic root of 1131706324 is about 1042.1044431691.

Adding to 1131706324 its reverse (4236071311), we get a palindrome (5367777635).

It can be divided in two parts, 1131 and 706324, that added together give a triangular number (707455 = T1189).

The spelling of 1131706324 in words is "one billion, one hundred thirty-one million, seven hundred six thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 29 58 116 191 203 382 406 764 812 1337 2674 5348 5539 7297 11078 14594 22156 29188 38773 51079 77546 102158 155092 204316 211613 423226 846452 1393727 1481291 2787454 2962582 5574908 5925164 9756089 19512178 39024356 40418083 80836166 161672332 282926581 565853162 1131706324