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97004160 = 27325111531
BaseRepresentation
bin1011100100000…
…10101010000000
320202112022200200
411302002222000
5144313113120
613343045200
72255343651
oct562025200
9222468620
1097004160
114a835730
12285a0800
1317135016
14cc51528
1587b1e90
hex5c82a80

97004160 has 192 divisors, whose sum is σ = 365657760. Its totient is φ = 23500800.

The previous prime is 97004129. The next prime is 97004183. The reversal of 97004160 is 6140079.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62595 + ... + 64125.

Almost surely, 297004160 is an apocalyptic number.

97004160 is a gapful number since it is divisible by the number (90) 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 97004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182828880).

97004160 is an abundant number, since it is smaller than the sum of its proper divisors (268653600).

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

97004160 is a wasteful number, since it uses less digits than its factorization.

97004160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 97004160 is about 9849.0689915342. The cubic root of 97004160 is about 459.4766574965.

The spelling of 97004160 in words is "ninety-seven million, four thousand, one hundred sixty".