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97660920 = 23357217977
BaseRepresentation
bin1011101001000…
…10111111111000
320210202200121010
411310202333320
5200000122140
613405113520
72264050500
oct564427770
9223680533
1097660920
1150144105
12288588a0
1317304c36
14cd82a00
158891880
hex5d22ff8

97660920 has 192 divisors, whose sum is σ = 361234080. Its totient is φ = 20987904.

The previous prime is 97660919. The next prime is 97660949. The reversal of 97660920 is 2906679.

97660920 is nontrivially palindromic in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99472 + ... + 100448.

Almost surely, 297660920 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 97660920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180617040).

97660920 is an abundant number, since it is smaller than the sum of its proper divisors (263573160).

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

97660920 is a wasteful number, since it uses less digits than its factorization.

97660920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 97660920 is about 9882.3539705882. The cubic root of 97660920 is about 460.5112777686.

The spelling of 97660920 in words is "ninety-seven million, six hundred sixty thousand, nine hundred twenty".