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97520016 = 24311191967
BaseRepresentation
bin1011101000000…
…00100110010000
320210111112022110
411310000212100
5144431120031
613402105320
72262622626
oct564004620
9223445273
1097520016
1150058260
12287ab240
1317285a69
14cd47516
158864c46
hex5d00990

97520016 has 80 divisors (see below), whose sum is σ = 276553728. Its totient is φ = 29366400.

The previous prime is 97519997. The next prime is 97520021. The reversal of 97520016 is 61002579.

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, 100365 + ... + 101331.

Almost surely, 297520016 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 97520016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138276864).

97520016 is an abundant number, since it is smaller than the sum of its proper divisors (179033712).

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

97520016 is a wasteful number, since it uses less digits than its factorization.

97520016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 97520016 is about 9875.2223266112. Note that the first 3 decimals coincide. The cubic root of 97520016 is about 460.2896977937.

The spelling of 97520016 in words is "ninety-seven million, five hundred twenty thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 191 264 382 528 573 764 967 1146 1528 1934 2101 2292 2901 3056 3868 4202 4584 5802 6303 7736 8404 9168 10637 11604 12606 15472 16808 21274 23208 25212 31911 33616 42548 46416 50424 63822 85096 100848 127644 170192 184697 255288 369394 510576 554091 738788 1108182 1477576 2031667 2216364 2955152 4063334 4432728 6095001 8126668 8865456 12190002 16253336 24380004 32506672 48760008 97520016