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131979336 = 23323373641
BaseRepresentation
bin1111101110111…
…01100001001000
3100012100020121120
413313131201020
5232241314321
621032435240
73161543256
oct767354110
9305306546
10131979336
1168554035
1238248b20
132145c6a8
14137575d6
15b8beec6
hex7ddd848

131979336 has 64 divisors (see below), whose sum is σ = 345755520. Its totient is φ = 41902080.

The previous prime is 131979317. The next prime is 131979371. The reversal of 131979336 is 633979131.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205576 + ... + 206216.

It is an arithmetic number, because the mean of its divisors is an integer number (5402430).

Almost surely, 2131979336 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 131979336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172877760).

131979336 is an abundant number, since it is smaller than the sum of its proper divisors (213776184).

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

131979336 is a wasteful number, since it uses less digits than its factorization.

131979336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1042 counting only the distinct ones).

The product of its digits is 91854, while the sum is 42.

The square root of 131979336 is about 11488.2259727079. The cubic root of 131979336 is about 509.1377664585.

The spelling of 131979336 in words is "one hundred thirty-one million, nine hundred seventy-nine thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 373 552 641 746 1119 1282 1492 1923 2238 2564 2984 3846 4476 5128 7692 8579 8952 14743 15384 17158 25737 29486 34316 44229 51474 58972 68632 88458 102948 117944 176916 205896 239093 353832 478186 717279 956372 1434558 1912744 2869116 5499139 5738232 10998278 16497417 21996556 32994834 43993112 65989668 131979336