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97360380 = 22355132367
BaseRepresentation
bin1011100110110…
…01100111111100
320210012102100000
411303121213330
5144411013010
613354434300
72261356335
oct563314774
9223172300
1097360380
114aa59327
1228732990
131722b1c0
14cd0528c
1588327c0
hex5cd99fc

97360380 has 288 divisors, whose sum is σ = 349300224. Its totient is φ = 22581504.

The previous prime is 97360339. The next prime is 97360381. The reversal of 97360380 is 8306379.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97360381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1453107 + ... + 1453173.

It is an arithmetic number, because the mean of its divisors is an integer number (1212848).

Almost surely, 297360380 is an apocalyptic number.

97360380 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 97360380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174650112).

97360380 is an abundant number, since it is smaller than the sum of its proper divisors (251939844).

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

97360380 is a wasteful number, since it uses less digits than its factorization.

97360380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 97360380 is about 9867.1363626941. The cubic root of 97360380 is about 460.0384025910.

The spelling of 97360380 in words is "ninety-seven million, three hundred sixty thousand, three hundred eighty".