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97160400 = 243252137197
BaseRepresentation
bin1011100101010…
…00110011010000
320202211021000100
411302220303100
5144333113100
613350252400
72256564321
oct562506320
9222737010
1097160400
114a932057
1228657100
131718b17c
14cc92448
1587e3400
hex5ca8cd0

97160400 has 180 divisors, whose sum is σ = 341358732. Its totient is φ = 25589760.

The previous prime is 97160383. The next prime is 97160407. The reversal of 97160400 is 406179.

It can be written as a sum of positive squares in 6 ways, for example, as 4769856 + 92390544 = 2184^2 + 9612^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97160407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 493102 + ... + 493298.

Almost surely, 297160400 is an apocalyptic number.

97160400 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 97160400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170679366).

97160400 is an abundant number, since it is smaller than the sum of its proper divisors (244198332).

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

97160400 is a wasteful number, since it uses less digits than its factorization.

97160400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 97160400 is about 9856.9975144564. The cubic root of 97160400 is about 459.7232109269.

Adding to 97160400 its reverse (406179), we get a palindrome (97566579).

The spelling of 97160400 in words is "ninety-seven million, one hundred sixty thousand, four hundred".