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91681136 = 24173183131
BaseRepresentation
bin1010111011011…
…11000101110000
320101111212212122
411131233011300
5141432244021
613033013412
72162163641
oct535570560
9211455778
1091681136
114782a438
1226854268
1315cc01c1
14c2676c8
1580aebab
hex576f170

91681136 has 80 divisors (see below), whose sum is σ = 197987328. Its totient is φ = 40934400.

The previous prime is 91681111. The next prime is 91681141. The reversal of 91681136 is 63118619.

It is a junction number, because it is equal to n+sod(n) for n = 91681096 and 91681105.

It is a congruent number.

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, 699791 + ... + 699921.

Almost surely, 291681136 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 91681136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98993664).

91681136 is an abundant number, since it is smaller than the sum of its proper divisors (106306192).

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

91681136 is a wasteful number, since it uses less digits than its factorization.

91681136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 264 counting only the distinct ones).

The product of its digits is 7776, while the sum is 35.

The square root of 91681136 is about 9575.0266840359. The cubic root of 91681136 is about 450.9135941632.

The spelling of 91681136 in words is "ninety-one million, six hundred eighty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 17 31 34 62 68 83 124 131 136 166 248 262 272 332 496 524 527 664 1048 1054 1328 1411 2096 2108 2227 2573 2822 4061 4216 4454 5146 5644 8122 8432 8908 10292 10873 11288 16244 17816 20584 21746 22576 32488 35632 41168 43492 43741 64976 69037 86984 87482 138074 173968 174964 184841 276148 337063 349928 369682 552296 674126 699856 739364 1104592 1348252 1478728 2696504 2957456 5393008 5730071 11460142 22920284 45840568 91681136