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31109568 = 263779293
BaseRepresentation
bin111011010101…
…1000111000000
32011112112022020
41312223013000
530431001233
63030441440
7525266310
oct166530700
964475266
1031109568
1116619096
12a503280
1365a3039
1441bb440
152ae79b3
hex1dab1c0

31109568 has 112 divisors (see below), whose sum is σ = 95585280. Its totient is φ = 8745984.

The previous prime is 31109557. The next prime is 31109587. The reversal of 31109568 is 86590113.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×311095682 = 1935610442293248, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106030 + ... + 106322.

It is an arithmetic number, because the mean of its divisors is an integer number (853440).

Almost surely, 231109568 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 31109568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47792640).

31109568 is an abundant number, since it is smaller than the sum of its proper divisors (64475712).

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

31109568 is a wasteful number, since it uses less digits than its factorization.

31109568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 31109568 is about 5577.5951807208. The cubic root of 31109568 is about 314.5077319880.

The spelling of 31109568 in words is "thirty-one million, one hundred nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 79 84 96 112 158 168 192 224 237 293 316 336 448 474 553 586 632 672 879 948 1106 1172 1264 1344 1659 1758 1896 2051 2212 2344 2528 3318 3516 3792 4102 4424 4688 5056 6153 6636 7032 7584 8204 8848 9376 12306 13272 14064 15168 16408 17696 18752 23147 24612 26544 28128 32816 35392 46294 49224 53088 56256 65632 69441 92588 98448 106176 131264 138882 162029 185176 196896 277764 324058 370352 393792 486087 555528 648116 740704 972174 1111056 1296232 1481408 1944348 2222112 2592464 3888696 4444224 5184928 7777392 10369856 15554784 31109568