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131869512 = 23335311519
BaseRepresentation
bin1111101110000…
…10101101001000
3100012010122222000
413313002231020
5232224311022
621030231000
73160605135
oct767025510
9305118860
10131869512
1168489575
12381b5460
13214216c8
141372958c
15b89c6ac
hex7dc2b48

131869512 has 64 divisors (see below), whose sum is σ = 373248000. Its totient is φ = 43123392.

The previous prime is 131869501. The next prime is 131869513. The reversal of 131869512 is 215968131.

131869512 is a `hidden beast` number, since 131 + 8 + 6 + 9 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (131869513) 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, 5689 + ... + 17207.

It is an arithmetic number, because the mean of its divisors is an integer number (5832000).

Almost surely, 2131869512 is an apocalyptic number.

131869512 is a gapful number since it is divisible by the number (12) 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 131869512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186624000).

131869512 is an abundant number, since it is smaller than the sum of its proper divisors (241378488).

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

131869512 is a wasteful number, since it uses less digits than its factorization.

131869512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11587 (or 11577 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 131869512 is about 11483.4451276609. The cubic root of 131869512 is about 508.9965042867.

The spelling of 131869512 in words is "one hundred thirty-one million, eight hundred sixty-nine thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 106 108 159 212 216 318 424 477 636 954 1272 1431 1908 2862 3816 5724 11448 11519 23038 34557 46076 69114 92152 103671 138228 207342 276456 311013 414684 610507 622026 829368 1221014 1244052 1831521 2442028 2488104 3663042 4884056 5494563 7326084 10989126 14652168 16483689 21978252 32967378 43956504 65934756 131869512