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31457040 = 2435131071
BaseRepresentation
bin111011111111…
…1111100010000
32012012011221120
41313333330100
531023111130
63042122240
7531244326
oct167777420
965164846
1031457040
111683615a
12a650380
136695244
14426bd16
152b65910
hex1dfff10

31457040 has 40 divisors (see below), whose sum is σ = 97517568. Its totient is φ = 8388480.

The previous prime is 31457039. The next prime is 31457051. The reversal of 31457040 is 4075413.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 31457040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65296 + ... + 65775.

Almost surely, 231457040 is an apocalyptic number.

31457040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31457040 is an abundant number, since it is smaller than the sum of its proper divisors (66060528).

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

31457040 is a wasteful number, since it uses less digits than its factorization.

31457040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131087 (or 131081 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 31457040 is about 5608.6575933997. The cubic root of 31457040 is about 315.6743427088.

The spelling of 31457040 in words is "thirty-one million, four hundred fifty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 131071 262142 393213 524284 655355 786426 1048568 1310710 1572852 1966065 2097136 2621420 3145704 3932130 5242840 6291408 7864260 10485680 15728520 31457040