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31972680 = 2332588813
BaseRepresentation
bin111100111110…
…1110101001000
32020011101021100
41321331311020
531141111210
63101141400
7535522545
oct171756510
966141240
1031972680
1117058603
12a85a860
136815b5c
144363bcc
152c185c0
hex1e7dd48

31972680 has 48 divisors (see below), whose sum is σ = 103912380. Its totient is φ = 8525952.

The previous prime is 31972669. The next prime is 31972709. The reversal of 31972680 is 8627913.

It can be written as a sum of positive squares in 2 ways, for example, as 28965924 + 3006756 = 5382^2 + 1734^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44047 + ... + 44766.

Almost surely, 231972680 is an apocalyptic number.

31972680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31972680 is an abundant number, since it is smaller than the sum of its proper divisors (71939700).

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

31972680 is a wasteful number, since it uses less digits than its factorization.

31972680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88830 (or 88823 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 31972680 is about 5654.4389642121. The cubic root of 31972680 is about 317.3898350929.

The spelling of 31972680 in words is "thirty-one million, nine hundred seventy-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 88813 177626 266439 355252 444065 532878 710504 799317 888130 1065756 1332195 1598634 1776260 2131512 2664390 3197268 3552520 3996585 5328780 6394536 7993170 10657560 15986340 31972680