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97396320 = 25357241101
BaseRepresentation
bin1011100111000…
…10011001100000
320210021020122010
411303202121200
5144413140240
613355312520
72261566200
oct563423140
9223236563
1097396320
114aa8332a
122874b740
1317241678
14cd14400
15883d280
hex5ce2660

97396320 has 288 divisors, whose sum is σ = 369212256. Its totient is φ = 21504000.

The previous prime is 97396303. The next prime is 97396331. The reversal of 97396320 is 2369379.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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, 964270 + ... + 964370.

It is an arithmetic number, because the mean of its divisors is an integer number (1281987).

Almost surely, 297396320 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 97396320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184606128).

97396320 is an abundant number, since it is smaller than the sum of its proper divisors (271815936).

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

97396320 is a wasteful number, since it uses less digits than its factorization.

97396320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 39.

The square root of 97396320 is about 9868.9573917410. The cubic root of 97396320 is about 460.0950024323.

The spelling of 97396320 in words is "ninety-seven million, three hundred ninety-six thousand, three hundred twenty".