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131468120 = 2357469529
BaseRepresentation
bin1111101011000…
…00101101011000
3100011101021100122
413311200231120
5232123434440
621013452412
73154313660
oct765405530
9304337318
10131468120
1168234a43
1238041108
1321310ab4
14136631a0
15b81d7b5
hex7d60b58

131468120 has 32 divisors (see below), whose sum is σ = 338061600. Its totient is φ = 45074688.

The previous prime is 131468119. The next prime is 131468159. The reversal of 131468120 is 21864131.

It is a self number, because there is not a number n which added to its sum of digits gives 131468120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234485 + ... + 235044.

It is an arithmetic number, because the mean of its divisors is an integer number (10564425).

Almost surely, 2131468120 is an apocalyptic number.

131468120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131468120 is an abundant number, since it is smaller than the sum of its proper divisors (206593480).

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

131468120 is a wasteful number, since it uses less digits than its factorization.

131468120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469547 (or 469543 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 131468120 is about 11465.9548228658. The cubic root of 131468120 is about 508.4795418064.

The spelling of 131468120 in words is "one hundred thirty-one million, four hundred sixty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 469529 939058 1878116 2347645 3286703 3756232 4695290 6573406 9390580 13146812 16433515 18781160 26293624 32867030 65734060 131468120