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131934120 = 23355871873
BaseRepresentation
bin1111101110100…
…10011110101000
3100012020221120220
413313102132220
5232233342440
621031450040
73161264403
oct767223650
9305227526
10131934120
116852306a
1238226920
1321444c36
1413744d3a
15b8b18d0
hex7dd27a8

131934120 has 64 divisors (see below), whose sum is σ = 396688320. Its totient is φ = 35103744.

The previous prime is 131934073. The next prime is 131934139. The reversal of 131934120 is 21439131.

It is a super-2 number, since 2×1319341202 = 34813224040348800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69504 + ... + 71376.

It is an arithmetic number, because the mean of its divisors is an integer number (6198255).

Almost surely, 2131934120 is an apocalyptic number.

131934120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131934120 is an abundant number, since it is smaller than the sum of its proper divisors (264754200).

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

131934120 is a wasteful number, since it uses less digits than its factorization.

131934120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2474 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 131934120 is about 11486.2578762624. The cubic root of 131934120 is about 509.0796164394.

The spelling of 131934120 in words is "one hundred thirty-one million, nine hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 587 1174 1761 1873 2348 2935 3522 3746 4696 5619 5870 7044 7492 8805 9365 11238 11740 14088 14984 17610 18730 22476 23480 28095 35220 37460 44952 56190 70440 74920 112380 224760 1099451 2198902 3298353 4397804 5497255 6596706 8795608 10994510 13193412 16491765 21989020 26386824 32983530 43978040 65967060 131934120