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31679940 = 22352811879
BaseRepresentation
bin111100011011…
…0010111000100
32012121111201010
41320312113010
531102224230
63051002220
7533163225
oct170662704
965544633
1031679940
1116978676
12a739370
136742836
1442c924c
152bab9b0
hex1e365c4

31679940 has 48 divisors (see below), whose sum is σ = 89066880. Its totient is φ = 8413440.

The previous prime is 31679939. The next prime is 31679941. The reversal of 31679940 is 4997613.

It is an interprime number because it is at equal distance from previous prime (31679939) and next prime (31679941).

It is not an unprimeable number, because it can be changed into a prime (31679941) 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 15 ways as a sum of consecutive naturals, for example, 15921 + ... + 17799.

It is an arithmetic number, because the mean of its divisors is an integer number (1855560).

Almost surely, 231679940 is an apocalyptic number.

31679940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31679940 is an abundant number, since it is smaller than the sum of its proper divisors (57386940).

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

31679940 is a wasteful number, since it uses less digits than its factorization.

31679940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 31679940 is about 5628.4935817677. The cubic root of 31679940 is about 316.4181959794.

The spelling of 31679940 in words is "thirty-one million, six hundred seventy-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 281 562 843 1124 1405 1686 1879 2810 3372 3758 4215 5620 5637 7516 8430 9395 11274 16860 18790 22548 28185 37580 56370 112740 527999 1055998 1583997 2111996 2639995 3167994 5279990 6335988 7919985 10559980 15839970 31679940