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97375320 = 233257172273
BaseRepresentation
bin1011100110111…
…01010001011000
320210020011211100
411303131101120
5144412002240
613355031400
72261451030
oct563352130
9223204740
1097375320
114aa69579
122873b560
1317234c43
14cd0a8c0
158836e30
hex5cdd458

97375320 has 192 divisors, whose sum is σ = 383123520. Its totient is φ = 20938752.

The previous prime is 97375319. The next prime is 97375339. The reversal of 97375320 is 2357379.

It is a happy number.

97375320 is a `hidden beast` number, since 97 + 37 + 532 + 0 = 666.

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

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, 41704 + ... + 43976.

It is an arithmetic number, because the mean of its divisors is an integer number (1995435).

Almost surely, 297375320 is an apocalyptic number.

97375320 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 97375320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191561760).

97375320 is an abundant number, since it is smaller than the sum of its proper divisors (285748200).

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

97375320 is a wasteful number, since it uses less digits than its factorization.

97375320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

The square root of 97375320 is about 9867.8933922089. The cubic root of 97375320 is about 460.0619324301.

The spelling of 97375320 in words is "ninety-seven million, three hundred seventy-five thousand, three hundred twenty".