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131081440 = 2557117037
BaseRepresentation
bin1111101000000…
…10010011100000
3100010122121221011
413310002103200
5232024101230
621001310304
73151113430
oct764022340
9303577834
10131081440
1167aa0476
1237a95394
1321206aa9
14135a22c0
15b793e2a
hex7d024e0

131081440 has 48 divisors (see below), whose sum is σ = 353922912. Its totient is φ = 44941824.

The previous prime is 131081389. The next prime is 131081471. The reversal of 131081440 is 44180131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57399 + ... + 59638.

It is an arithmetic number, because the mean of its divisors is an integer number (7373394).

Almost surely, 2131081440 is an apocalyptic number.

131081440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131081440 is an abundant number, since it is smaller than the sum of its proper divisors (222841472).

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

131081440 is a wasteful number, since it uses less digits than its factorization.

131081440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117059 (or 117051 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 131081440 is about 11449.0803124094. The cubic root of 131081440 is about 507.9805312149.

The spelling of 131081440 in words is "one hundred thirty-one million, eighty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 117037 234074 468148 585185 819259 936296 1170370 1638518 1872592 2340740 3277036 3745184 4096295 4681480 6554072 8192590 9362960 13108144 16385180 18725920 26216288 32770360 65540720 131081440