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131930368 = 282232311
BaseRepresentation
bin1111101110100…
…01100100000000
3100012020202102221
413313101210000
5232233232433
621031420424
73161250433
oct767214400
9305222387
10131930368
1168520269
1238224714
132144330b
141374381a
15b8b072d
hex7dd1900

131930368 has 36 divisors (see below), whose sum is σ = 264640768. Its totient is φ = 65640960.

The previous prime is 131930347. The next prime is 131930371. The reversal of 131930368 is 863039131.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55933 + ... + 58243.

Almost surely, 2131930368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131930368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132320384).

131930368 is an abundant number, since it is smaller than the sum of its proper divisors (132710400).

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

131930368 is an equidigital number, since it uses as much as digits as its factorization.

131930368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2550 (or 2536 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 131930368 is about 11486.0945494977. The cubic root of 131930368 is about 509.0747905843.

Adding to 131930368 its reverse (863039131), we get a palindrome (994969499).

The spelling of 131930368 in words is "one hundred thirty-one million, nine hundred thirty thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 223 256 446 892 1784 2311 3568 4622 7136 9244 14272 18488 28544 36976 57088 73952 147904 295808 515353 591616 1030706 2061412 4122824 8245648 16491296 32982592 65965184 131930368