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131269280 = 2552335671
BaseRepresentation
bin1111101001100…
…00001010100000
3100011000011121012
413310300022200
5232101104110
621005320052
73152525162
oct764601240
9304004535
10131269280
116810960a
1237b66028
132127143c
1413610932
15b7ce905
hex7d302a0

131269280 has 48 divisors (see below), whose sum is σ = 323616384. Its totient is φ = 50223360.

The previous prime is 131269253. The next prime is 131269319. The reversal of 131269280 is 82962131.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 14156 + ... + 21515.

It is an arithmetic number, because the mean of its divisors is an integer number (6742008).

Almost surely, 2131269280 is an apocalyptic number.

131269280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131269280 is an abundant number, since it is smaller than the sum of its proper divisors (192347104).

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

131269280 is a wasteful number, since it uses less digits than its factorization.

131269280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35709 (or 35701 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 131269280 is about 11457.2806546754. The cubic root of 131269280 is about 508.2230611532.

The spelling of 131269280 in words is "one hundred thirty-one million, two hundred sixty-nine thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3680 35671 71342 142684 178355 285368 356710 570736 713420 820433 1141472 1426840 1640866 2853680 3281732 4102165 5707360 6563464 8204330 13126928 16408660 26253856 32817320 65634640 131269280