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131157260 = 225134710733
BaseRepresentation
bin1111101000101…
…00110100001100
3100010210110221022
413310110310030
5232034013020
621003053312
73151550453
oct764246414
9303713838
10131157260
1168042433
1237b11238
1321232460
14135c1b9a
15b7ab625
hex7d14d0c

131157260 has 48 divisors (see below), whose sum is σ = 302956416. Its totient is φ = 47392512.

The previous prime is 131157239. The next prime is 131157269. The reversal of 131157260 is 62751131.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (131157269) 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, 6854 + ... + 17586.

It is an arithmetic number, because the mean of its divisors is an integer number (6311592).

Almost surely, 2131157260 is an apocalyptic number.

131157260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131157260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151478208).

131157260 is an abundant number, since it is smaller than the sum of its proper divisors (171799156).

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

131157260 is a wasteful number, since it uses less digits than its factorization.

131157260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10802 (or 10800 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 131157260 is about 11452.3910167266. The cubic root of 131157260 is about 508.0784542067.

The spelling of 131157260 in words is "one hundred thirty-one million, one hundred fifty-seven thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 47 52 65 94 130 188 235 260 470 611 940 1222 2444 3055 6110 10733 12220 21466 42932 53665 107330 139529 214660 279058 504451 558116 697645 1008902 1395290 2017804 2522255 2790580 5044510 6557863 10089020 13115726 26231452 32789315 65578630 131157260