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131888416 = 2511374683
BaseRepresentation
bin1111101110001…
…11010100100000
3100012011121220011
413313013110200
5232230412131
621030454304
73161014222
oct767072440
9305147804
10131888416
11684a17a0
1238204394
132142a1aa
1413732412
15b8a30b1
hex7dc7520

131888416 has 24 divisors (see below), whose sum is σ = 283261104. Its totient is φ = 59949120.

The previous prime is 131888399. The next prime is 131888429. The reversal of 131888416 is 614888131.

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, 186990 + ... + 187693.

It is an arithmetic number, because the mean of its divisors is an integer number (11802546).

Almost surely, 2131888416 is an apocalyptic number.

131888416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131888416 is an abundant number, since it is smaller than the sum of its proper divisors (151372688).

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

131888416 is a wasteful number, since it uses less digits than its factorization.

131888416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374704 (or 374696 counting only the distinct ones).

The product of its digits is 36864, while the sum is 40.

The square root of 131888416 is about 11484.2681961020. The cubic root of 131888416 is about 509.0208253246.

The spelling of 131888416 in words is "one hundred thirty-one million, eight hundred eighty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 374683 749366 1498732 2997464 4121513 5994928 8243026 11989856 16486052 32972104 65944208 131888416