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31131008 = 271072273
BaseRepresentation
bin111011011000…
…0010110000000
32011120121201022
41312300112000
530432143013
63031125012
7525415646
oct166602600
964517638
1031131008
1116633207
12a513768
1365aca1c
1441c5196
152aee008
hex1db0580

31131008 has 32 divisors (see below), whose sum is σ = 62625960. Its totient is φ = 15413248.

The previous prime is 31130993. The next prime is 31131031. The reversal of 31131008 is 80013113.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12560 + ... + 14832.

Almost surely, 231131008 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 31131008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31312980).

31131008 is an abundant number, since it is smaller than the sum of its proper divisors (31494952).

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

31131008 is a wasteful number, since it uses less digits than its factorization.

31131008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2394 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 31131008 is about 5579.5168249589. The cubic root of 31131008 is about 314.5799658992.

The spelling of 31131008 in words is "thirty-one million, one hundred thirty-one thousand, eight".

Divisors: 1 2 4 8 16 32 64 107 128 214 428 856 1712 2273 3424 4546 6848 9092 13696 18184 36368 72736 145472 243211 290944 486422 972844 1945688 3891376 7782752 15565504 31131008