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97938360 = 2332513171231
BaseRepresentation
bin1011101011001…
…10101110111000
320211021210011200
411311212232320
5200033011420
613415054200
72266314402
oct565465670
9224253150
1097938360
11503135a3
1228971360
13173a12c0
14d015b72
1588e8b90
hex5d66bb8

97938360 has 192 divisors, whose sum is σ = 363242880. Its totient is φ = 22671360.

The previous prime is 97938341. The next prime is 97938361. The reversal of 97938360 is 6383979.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97938361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78945 + ... + 80175.

It is an arithmetic number, because the mean of its divisors is an integer number (1891890).

Almost surely, 297938360 is an apocalyptic number.

97938360 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 97938360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181621440).

97938360 is an abundant number, since it is smaller than the sum of its proper divisors (265304520).

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

97938360 is a wasteful number, since it uses less digits than its factorization.

97938360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 97938360 is about 9896.3811567663. The cubic root of 97938360 is about 460.9469465880.

The spelling of 97938360 in words is "ninety-seven million, nine hundred thirty-eight thousand, three hundred sixty".