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131284640 = 2554211949
BaseRepresentation
bin1111101001100…
…11111010100000
3100011000221200002
413310303322200
5232102102030
621005515132
73152621024
oct764637240
9304027602
10131284640
116811a103
1237b72aa8
1321278426
1413616384
15b7d4245
hex7d33ea0

131284640 has 48 divisors (see below), whose sum is σ = 311056200. Its totient is φ = 52362240.

The previous prime is 131284639. The next prime is 131284651. The reversal of 131284640 is 46482131.

It can be written as a sum of positive squares in 4 ways, for example, as 82228624 + 49056016 = 9068^2 + 7004^2 .

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, 66386 + ... + 68334.

Almost surely, 2131284640 is an apocalyptic number.

131284640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131284640 is an abundant number, since it is smaller than the sum of its proper divisors (179771560).

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

131284640 is a wasteful number, since it uses less digits than its factorization.

131284640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 131284640 is about 11457.9509511954. The cubic root of 131284640 is about 508.2428830079.

The spelling of 131284640 in words is "one hundred thirty-one million, two hundred eighty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 421 842 1684 1949 2105 3368 3898 4210 6736 7796 8420 9745 13472 15592 16840 19490 31184 33680 38980 62368 67360 77960 155920 311840 820529 1641058 3282116 4102645 6564232 8205290 13128464 16410580 26256928 32821160 65642320 131284640