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131423328 = 25321721579
BaseRepresentation
bin1111101010101…
…01110001100000
3100011021222220200
413311111301200
5232121021303
621012505200
73154036251
oct765256140
9304258820
10131423328
1168204323
123801b200
13212c65aa
1413650b28
15b8103a3
hex7d55c60

131423328 has 108 divisors (see below), whose sum is σ = 397264140. Its totient is φ = 41204736.

The previous prime is 131423317. The next prime is 131423333. The reversal of 131423328 is 823324131.

131423328 is a `hidden beast` number, since 1 + 314 + 23 + 328 = 666.

It is a super-2 number, since 2×1314233282 = 34544182285191168, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 82443 + ... + 84021.

Almost surely, 2131423328 is an apocalyptic number.

131423328 is a gapful number since it is divisible by the number (18) 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 131423328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198632070).

131423328 is an abundant number, since it is smaller than the sum of its proper divisors (265840812).

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

131423328 is a wasteful number, since it uses less digits than its factorization.

131423328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1601 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 131423328 is about 11464.0013956733. The cubic root of 131423328 is about 508.4217878740.

Adding to 131423328 its reverse (823324131), we get a palindrome (954747459).

It can be divided in two parts, 1314 and 23328, that added together give a palindrome (24642).

The spelling of 131423328 in words is "one hundred thirty-one million, four hundred twenty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 289 306 408 544 578 612 816 867 1156 1224 1579 1632 1734 2312 2448 2601 3158 3468 4624 4737 4896 5202 6316 6936 9248 9474 10404 12632 13872 14211 18948 20808 25264 26843 27744 28422 37896 41616 50528 53686 56844 75792 80529 83232 107372 113688 151584 161058 214744 227376 241587 322116 429488 454752 456331 483174 644232 858976 912662 966348 1288464 1368993 1825324 1932696 2576928 2737986 3650648 3865392 4106979 5475972 7301296 7730784 8213958 10951944 14602592 16427916 21903888 32855832 43807776 65711664 131423328