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97331680 = 25519101317
BaseRepresentation
bin1011100110100…
…10100111100000
320210010221222001
411303102213200
5144404103210
613354053344
72261206555
oct563224740
9223127861
1097331680
114aa39806
122871a254
131721b114
14ccd8a2c
15882903a
hex5cd29e0

97331680 has 96 divisors (see below), whose sum is σ = 245216160. Its totient is φ = 36403200.

The previous prime is 97331677. The next prime is 97331711. The reversal of 97331680 is 8613379.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 306882 + ... + 307198.

It is an arithmetic number, because the mean of its divisors is an integer number (2554335).

Almost surely, 297331680 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 97331680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122608080).

97331680 is an abundant number, since it is smaller than the sum of its proper divisors (147884480).

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

97331680 is a wasteful number, since it uses less digits than its factorization.

97331680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 97331680 is about 9865.6819328417. The cubic root of 97331680 is about 459.9931946063.

The spelling of 97331680 in words is "ninety-seven million, three hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 101 152 160 190 202 304 317 380 404 505 608 634 760 808 1010 1268 1520 1585 1616 1919 2020 2536 3040 3170 3232 3838 4040 5072 6023 6340 7676 8080 9595 10144 12046 12680 15352 16160 19190 24092 25360 30115 30704 32017 38380 48184 50720 60230 61408 64034 76760 96368 120460 128068 153520 160085 192736 240920 256136 307040 320170 481840 512272 608323 640340 963680 1024544 1216646 1280680 2433292 2561360 3041615 4866584 5122720 6083230 9733168 12166460 19466336 24332920 48665840 97331680