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31160052 = 22347111249
BaseRepresentation
bin111011011011…
…1011011110100
32011122002120000
41312313123310
530434110202
63031511300
7525566430
oct166673364
964562500
1031160052
1116653010
12a528530
1365c0001
1441d19c0
152b0791c
hex1db76f4

31160052 has 120 divisors (see below), whose sum is σ = 101640000. Its totient is φ = 8087040.

The previous prime is 31160039. The next prime is 31160069. The reversal of 31160052 is 25006113.

31160052 is a `hidden beast` number, since 3 + 11 + 600 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 24324 + ... + 25572.

It is an arithmetic number, because the mean of its divisors is an integer number (847000).

Almost surely, 231160052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31160052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50820000).

31160052 is an abundant number, since it is smaller than the sum of its proper divisors (70479948).

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

31160052 is a wasteful number, since it uses less digits than its factorization.

31160052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 31160052 is about 5582.1189525126. The cubic root of 31160052 is about 314.6777657158.

Adding to 31160052 its reverse (25006113), we get a palindrome (56166165).

The spelling of 31160052 in words is "thirty-one million, one hundred sixty thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 81 84 99 108 126 132 154 162 189 198 231 252 297 308 324 378 396 462 567 594 693 756 891 924 1134 1188 1249 1386 1782 2079 2268 2498 2772 3564 3747 4158 4996 6237 7494 8316 8743 11241 12474 13739 14988 17486 22482 24948 26229 27478 33723 34972 41217 44964 52458 54956 67446 78687 82434 96173 101169 104916 123651 134892 157374 164868 192346 202338 236061 247302 288519 314748 370953 384692 404676 472122 494604 577038 708183 741906 865557 944244 1112859 1154076 1416366 1483812 1731114 2225718 2596671 2832732 3462228 4451436 5193342 7790013 10386684 15580026 31160052