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131634416 = 2414095839
BaseRepresentation
bin1111101100010…
…01010011110000
3100011200201110202
413312021103300
5232144300131
621021214332
73155605544
oct766112360
9304621422
10131634416
1168338981
12381013a8
132136b6b4
14136a7a24
15b852bcb
hex7d894f0

131634416 has 20 divisors (see below), whose sum is σ = 255266400. Its totient is φ = 65759232.

The previous prime is 131634389. The next prime is 131634421. The reversal of 131634416 is 614436131.

It is a super-2 number, since 2×1316344162 = 34655238951322112, which contains 22 as substring.

It is a congruent number.

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, 19625 + ... + 25463.

It is an arithmetic number, because the mean of its divisors is an integer number (12763320).

Almost surely, 2131634416 is an apocalyptic number.

131634416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131634416 is a deficient number, since it is larger than the sum of its proper divisors (123631984).

131634416 is a wasteful number, since it uses less digits than its factorization.

131634416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7256 (or 7250 counting only the distinct ones).

The product of its digits is 5184, while the sum is 29.

The square root of 131634416 is about 11473.2042603625. The cubic root of 131634416 is about 508.6938459433.

The spelling of 131634416 in words is "one hundred thirty-one million, six hundred thirty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 1409 2818 5636 5839 11272 11678 22544 23356 46712 93424 8227151 16454302 32908604 65817208 131634416