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97160832 = 27321923193
BaseRepresentation
bin1011100101010…
…00111010000000
320202211021121100
411302220322000
5144333121312
613350254400
72256565506
oct562507200
9222737540
1097160832
114a93240a
1228657400
131718b422
14cc92676
1587e35dc
hex5ca8e80

97160832 has 192 divisors, whose sum is σ = 308692800. Its totient is φ = 29196288.

The previous prime is 97160783. The next prime is 97160867. The reversal of 97160832 is 23806179.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 503328 + ... + 503520.

It is an arithmetic number, because the mean of its divisors is an integer number (1607775).

Almost surely, 297160832 is an apocalyptic number.

97160832 is a gapful number since it is divisible by the number (92) 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 97160832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154346400).

97160832 is an abundant number, since it is smaller than the sum of its proper divisors (211531968).

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

97160832 is a wasteful number, since it uses less digits than its factorization.

97160832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 97160832 is about 9857.0194277986. The cubic root of 97160832 is about 459.7238922749.

The spelling of 97160832 in words is "ninety-seven million, one hundred sixty thousand, eight hundred thirty-two".