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131895984 = 243112310861
BaseRepresentation
bin1111101110010…
…01001010110000
3100012012000021110
413313021022300
5232231132414
621030553320
73161045253
oct767111260
9305160243
10131895984
11684a7450
1238208840
132143077c
141373509a
15b8a5459
hex7dc92b0

131895984 has 80 divisors (see below), whose sum is σ = 387903744. Its totient is φ = 38227200.

The previous prime is 131895983. The next prime is 131895989. The reversal of 131895984 is 489598131.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (131895983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6714 + ... + 17574.

Almost surely, 2131895984 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 131895984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193951872).

131895984 is an abundant number, since it is smaller than the sum of its proper divisors (256007760).

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

131895984 is a wasteful number, since it uses less digits than its factorization.

131895984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10906 (or 10900 counting only the distinct ones).

The product of its digits is 311040, while the sum is 48.

The square root of 131895984 is about 11484.5976855961. The cubic root of 131895984 is about 509.0305613222.

The spelling of 131895984 in words is "one hundred thirty-one million, eight hundred ninety-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 368 506 528 552 759 1012 1104 1518 2024 3036 4048 6072 10861 12144 21722 32583 43444 65166 86888 119471 130332 173776 238942 249803 260664 358413 477884 499606 521328 716826 749409 955768 999212 1433652 1498818 1911536 1998424 2747833 2867304 2997636 3996848 5495666 5734608 5995272 8243499 10991332 11990544 16486998 21982664 32973996 43965328 65947992 131895984