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131429320 = 235112811063
BaseRepresentation
bin1111101010101…
…11001111001000
3100011022022010121
413311113033020
5232121214240
621012553024
73154062601
oct765271710
9304268117
10131429320
1168208880
1238022774
13212c9239
1413652da8
15b81204a
hex7d573c8

131429320 has 64 divisors (see below), whose sum is σ = 324051840. Its totient is φ = 47577600.

The previous prime is 131429299. The next prime is 131429323. The reversal of 131429320 is 23924131.

It is not an unprimeable number, because it can be changed into a prime (131429323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123109 + ... + 124171.

It is an arithmetic number, because the mean of its divisors is an integer number (5063310).

Almost surely, 2131429320 is an apocalyptic number.

131429320 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 131429320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162025920).

131429320 is an abundant number, since it is smaller than the sum of its proper divisors (192622520).

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

131429320 is a wasteful number, since it uses less digits than its factorization.

131429320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 131429320 is about 11464.2627325092. The cubic root of 131429320 is about 508.4295146023.

The spelling of 131429320 in words is "one hundred thirty-one million, four hundred twenty-nine thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 281 440 562 1063 1124 1405 2126 2248 2810 3091 4252 5315 5620 6182 8504 10630 11240 11693 12364 15455 21260 23386 24728 30910 42520 46772 58465 61820 93544 116930 123640 233860 298703 467720 597406 1194812 1493515 2389624 2987030 3285733 5974060 6571466 11948120 13142932 16428665 26285864 32857330 65714660 131429320