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97723080 = 2332571319157
BaseRepresentation
bin1011101001100…
…10001011001000
320210212211212100
411310302023020
5200004114310
613410313400
72264426640
oct564621310
9223784770
1097723080
1150186884
1228888860
1317327310
14cd9b520
1588a4ec0
hex5d322c8

97723080 has 384 divisors, whose sum is σ = 414086400. Its totient is φ = 19408896.

The previous prime is 97723063. The next prime is 97723091. The reversal of 97723080 is 8032779.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 622362 + ... + 622518.

It is an arithmetic number, because the mean of its divisors is an integer number (1078350).

Almost surely, 297723080 is an apocalyptic number.

97723080 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 97723080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207043200).

97723080 is an abundant number, since it is smaller than the sum of its proper divisors (316363320).

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

97723080 is a wasteful number, since it uses less digits than its factorization.

97723080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 97723080 is about 9885.4984699812. The cubic root of 97723080 is about 460.6089603419.

The spelling of 97723080 in words is "ninety-seven million, seven hundred twenty-three thousand, eighty".