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131330416 = 2477571549
BaseRepresentation
bin1111101001111…
…11000101110000
3100011010021110111
413310333011300
5232110033131
621010511104
73153201340
oct764770560
9304107414
10131330416
1168150538
1237b95494
1321293209
1413628d20
15b7e2ab1
hex7d3f170

131330416 has 40 divisors (see below), whose sum is σ = 291375200. Its totient is φ = 56173824.

The previous prime is 131330387. The next prime is 131330443. The reversal of 131330416 is 614033131.

It is a happy number.

It is a congruent number.

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, 84010 + ... + 85558.

It is an arithmetic number, because the mean of its divisors is an integer number (7284380).

Almost surely, 2131330416 is an apocalyptic number.

131330416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131330416 is an abundant number, since it is smaller than the sum of its proper divisors (160044784).

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

131330416 is a wasteful number, since it uses less digits than its factorization.

131330416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2321 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 131330416 is about 11459.9483419429. The cubic root of 131330416 is about 508.3019470962.

Adding to 131330416 its reverse (614033131), we get a palindrome (745363547).

The spelling of 131330416 in words is "one hundred thirty-one million, three hundred thirty thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 112 757 1514 1549 3028 3098 5299 6056 6196 10598 10843 12112 12392 21196 21686 24784 42392 43372 84784 86744 173488 1172593 2345186 4690372 8208151 9380744 16416302 18761488 32832604 65665208 131330416