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131937984 = 263431821
BaseRepresentation
bin1111101110100…
…11011011000000
3100012021010220000
413313103123000
5232234003414
621031520000
73161311563
oct767233300
9305233800
10131937984
1168525a62
1238229000
1321446919
14137464da
15b8b2b09
hex7dd36c0

131937984 has 140 divisors (see below), whose sum is σ = 404213568. Its totient is φ = 42508800.

The previous prime is 131937973. The next prime is 131937989. The reversal of 131937984 is 489739131.

It is not an unprimeable number, because it can be changed into a prime (131937989) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 160294 + ... + 161114.

Almost surely, 2131937984 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 131937984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202106784).

131937984 is an abundant number, since it is smaller than the sum of its proper divisors (272275584).

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

131937984 is an equidigital number, since it uses as much as digits as its factorization.

131937984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 857 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 131937984 is about 11486.4260760256. The cubic root of 131937984 is about 509.0845862542.

The spelling of 131937984 in words is "one hundred thirty-one million, nine hundred thirty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 144 162 186 192 216 248 279 288 324 372 432 496 558 576 648 744 821 837 864 992 1116 1296 1488 1642 1674 1728 1984 2232 2463 2511 2592 2976 3284 3348 4464 4926 5022 5184 5952 6568 6696 7389 8928 9852 10044 13136 13392 14778 17856 19704 20088 22167 25451 26272 26784 29556 39408 40176 44334 50902 52544 53568 59112 66501 76353 78816 80352 88668 101804 118224 133002 152706 157632 160704 177336 203608 229059 236448 266004 305412 354672 407216 458118 472896 532008 610824 687177 709344 814432 916236 1064016 1221648 1374354 1418688 1628864 1832472 2061531 2128032 2443296 2748708 3664944 4123062 4256064 4886592 5497416 7329888 8246124 10994832 14659776 16492248 21989664 32984496 43979328 65968992 131937984