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131366004 = 223711178363
BaseRepresentation
bin1111101010001…
…11110001110100
3100011012002021120
413311013301310
5232112203004
621011343540
73153410160
oct765076164
9304162246
10131366004
1168175250
1237bb1bb0
13212a6483
1413637ca0
15b7ed3d9
hex7d47c74

131366004 has 96 divisors (see below), whose sum is σ = 404683776. Its totient is φ = 32110080.

The previous prime is 131365991. The next prime is 131366023. The reversal of 131366004 is 400663131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11527 + ... + 19889.

It is an arithmetic number, because the mean of its divisors is an integer number (4215456).

Almost surely, 2131366004 is an apocalyptic number.

131366004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131366004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202341888).

131366004 is an abundant number, since it is smaller than the sum of its proper divisors (273317772).

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

131366004 is a wasteful number, since it uses less digits than its factorization.

131366004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8405 (or 8403 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 131366004 is about 11461.5009488286. The cubic root of 131366004 is about 508.3478562783.

The spelling of 131366004 in words is "one hundred thirty-one million, three hundred sixty-six thousand, four".

Divisors: 1 2 3 4 6 7 11 12 14 17 21 22 28 33 34 42 44 51 66 68 77 84 102 119 132 154 187 204 231 238 308 357 374 462 476 561 714 748 924 1122 1309 1428 2244 2618 3927 5236 7854 8363 15708 16726 25089 33452 50178 58541 91993 100356 117082 142171 175623 183986 234164 275979 284342 351246 367972 426513 551958 568684 643951 702492 853026 995197 1103916 1287902 1563881 1706052 1931853 1990394 2575804 2985591 3127762 3863706 3980788 4691643 5971182 6255524 7727412 9383286 10947167 11942364 18766572 21894334 32841501 43788668 65683002 131366004