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96561360 = 24325731723
BaseRepresentation
bin1011100000101…
…10100011010000
320201200211021200
411300112203100
5144204430420
613325351200
72251521000
oct560264320
9221624250
1096561360
114a562a85
1228408500
131700b5cc
14cb78000
158725b90
hex5c168d0

96561360 has 480 divisors, whose sum is σ = 417830400. Its totient is φ = 19869696.

The previous prime is 96561341. The next prime is 96561391. The reversal of 96561360 is 6316569.

96561360 is a `hidden beast` number, since 96 + 561 + 3 + 6 + 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4198309 + ... + 4198331.

It is an arithmetic number, because the mean of its divisors is an integer number (870480).

Almost surely, 296561360 is an apocalyptic number.

96561360 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 96561360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208915200).

96561360 is an abundant number, since it is smaller than the sum of its proper divisors (321269040).

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

96561360 is a wasteful number, since it uses less digits than its factorization.

96561360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 96561360 is about 9826.5639976545. The cubic root of 96561360 is about 458.7764585660.

The spelling of 96561360 in words is "ninety-six million, five hundred sixty-one thousand, three hundred sixty".