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97160112 = 24327113853
BaseRepresentation
bin1011100101010…
…00101110110000
320202211020121200
411302220232300
5144333110422
613350251200
72256563430
oct562505660
9222736550
1097160112
114a931915
1228656b00
131718acba
14cc922c0
1587e32ac
hex5ca8bb0

97160112 has 120 divisors (see below), whose sum is σ = 313875744. Its totient is φ = 27482112.

The previous prime is 97160111. The next prime is 97160123. The reversal of 97160112 is 21106179.

It is not an unprimeable number, because it can be changed into a prime (97160111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113478 + ... + 114330.

Almost surely, 297160112 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 97160112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156937872).

97160112 is an abundant number, since it is smaller than the sum of its proper divisors (216715632).

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

97160112 is a wasteful number, since it uses less digits than its factorization.

97160112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 97160112 is about 9856.9829055345. The cubic root of 97160112 is about 459.7227566938.

The spelling of 97160112 in words is "ninety-seven million, one hundred sixty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 113 126 144 168 226 252 336 339 452 504 678 791 853 904 1008 1017 1356 1582 1706 1808 2034 2373 2559 2712 3164 3412 4068 4746 5118 5424 5971 6328 6824 7119 7677 8136 9492 10236 11942 12656 13648 14238 15354 16272 17913 18984 20472 23884 28476 30708 35826 37968 40944 47768 53739 56952 61416 71652 95536 96389 107478 113904 122832 143304 192778 214956 286608 289167 385556 429912 578334 674723 771112 859824 867501 1156668 1349446 1542224 1735002 2024169 2313336 2698892 3470004 4048338 4626672 5397784 6072507 6940008 8096676 10795568 12145014 13880016 16193352 24290028 32386704 48580056 97160112