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31131568 = 2413971543
BaseRepresentation
bin111011011000…
…0011110110000
32011120122111001
41312300132300
530432202233
63031131344
7525420406
oct166603660
964518431
1031131568
1116633676
12a513b54
1365b0060
1441c5476
152aee27d
hex1db07b0

31131568 has 40 divisors (see below), whose sum is σ = 65669408. Its totient is φ = 14211072.

The previous prime is 31131563. The next prime is 31131593. The reversal of 31131568 is 86513113.

It is a super-2 number, since 2×311315682 = 1938349052277248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31131563) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 19405 + ... + 20947.

Almost surely, 231131568 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 31131568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32834704).

31131568 is an abundant number, since it is smaller than the sum of its proper divisors (34537840).

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

31131568 is a wasteful number, since it uses less digits than its factorization.

31131568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1655 counting only the distinct ones).

The product of its digits is 2160, while the sum is 28.

The square root of 31131568 is about 5579.5670082902. The cubic root of 31131568 is about 314.5818521613.

The spelling of 31131568 in words is "thirty-one million, one hundred thirty-one thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 52 97 104 194 208 388 776 1261 1543 1552 2522 3086 5044 6172 10088 12344 20059 20176 24688 40118 80236 149671 160472 299342 320944 598684 1197368 1945723 2394736 3891446 7782892 15565784 31131568