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89697168 = 243211173331
BaseRepresentation
bin1010101100010…
…10101110010000
320020210002101100
411112022232100
5140430302133
612522304400
72136261531
oct526125620
9206702340
1089697168
11466a48a0
1226058100
1315777162
14bcac688
157d1be13
hex558ab90

89697168 has 120 divisors (see below), whose sum is σ = 290043936. Its totient is φ = 25574400.

The previous prime is 89697163. The next prime is 89697199. The reversal of 89697168 is 86179698.

It is not an unprimeable number, because it can be changed into a prime (89697163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25263 + ... + 28593.

Almost surely, 289697168 is an apocalyptic number.

89697168 is a gapful number since it is divisible by the number (88) 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 89697168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145021968).

89697168 is an abundant number, since it is smaller than the sum of its proper divisors (200346768).

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

89697168 is a wasteful number, since it uses less digits than its factorization.

89697168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3373 (or 3364 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The square root of 89697168 is about 9470.8588839661. The cubic root of 89697168 is about 447.6372754884.

The spelling of 89697168 in words is "eighty-nine million, six hundred ninety-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 33 34 36 44 48 51 66 68 72 88 99 102 132 136 144 153 176 187 198 204 264 272 306 374 396 408 528 561 612 748 792 816 1122 1224 1496 1584 1683 2244 2448 2992 3331 3366 4488 6662 6732 8976 9993 13324 13464 19986 26648 26928 29979 36641 39972 53296 56627 59958 73282 79944 109923 113254 119916 146564 159888 169881 219846 226508 239832 293128 329769 339762 439692 453016 479664 509643 586256 622897 659538 679524 879384 906032 1019286 1245794 1319076 1359048 1758768 1868691 2038572 2491588 2638152 2718096 3737382 4077144 4983176 5276304 5606073 7474764 8154288 9966352 11212146 14949528 22424292 29899056 44848584 89697168