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131432280 = 23357156467
BaseRepresentation
bin1111101010101…
…11111101011000
3100011022110012020
413311113331120
5232121313110
621013014440
73154104330
oct765277530
9304273166
10131432280
1168210021
1238024420
13212ca6a5
14136540c0
15b812d70
hex7d57f58

131432280 has 64 divisors (see below), whose sum is σ = 450627840. Its totient is φ = 30041472.

The previous prime is 131432267. The next prime is 131432303. The reversal of 131432280 is 82234131.

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 131432280.

It is a congruent number.

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, 77394 + ... + 79073.

It is an arithmetic number, because the mean of its divisors is an integer number (7041060).

Almost surely, 2131432280 is an apocalyptic number.

131432280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131432280 is an abundant number, since it is smaller than the sum of its proper divisors (319195560).

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

131432280 is a wasteful number, since it uses less digits than its factorization.

131432280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156488 (or 156484 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 131432280 is about 11464.3918286144. The cubic root of 131432280 is about 508.4333314575.

The spelling of 131432280 in words is "one hundred thirty-one million, four hundred thirty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 156467 312934 469401 625868 782335 938802 1095269 1251736 1564670 1877604 2190538 2347005 3129340 3285807 3755208 4381076 4694010 5476345 6258680 6571614 8762152 9388020 10952690 13143228 16429035 18776040 21905380 26286456 32858070 43810760 65716140 131432280