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31157680 = 245675813
BaseRepresentation
bin111011011011…
…0110110110000
32011121222022011
41312312312300
530434021210
63031452304
7525556501
oct166666660
964558264
1031157680
1116651254
12a527094
1365bbbc8
1441d0ba8
152b06d8a
hex1db6db0

31157680 has 40 divisors (see below), whose sum is σ = 73535472. Its totient is φ = 12274944.

The previous prime is 31157677. The next prime is 31157681. The reversal of 31157680 is 8675113.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (31157681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2454 + ... + 8266.

Almost surely, 231157680 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 31157680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36767736).

31157680 is an abundant number, since it is smaller than the sum of its proper divisors (42377792).

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

31157680 is a wasteful number, since it uses less digits than its factorization.

31157680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5893 (or 5887 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 31157680 is about 5581.9064843474. The cubic root of 31157680 is about 314.6697807633.

The spelling of 31157680 in words is "thirty-one million, one hundred fifty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 5360 5813 11626 23252 29065 46504 58130 93008 116260 232520 389471 465040 778942 1557884 1947355 3115768 3894710 6231536 7789420 15578840 31157680