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96094080 = 273356783
BaseRepresentation
bin1011011101001…
…00011110000000
320200211002022000
411232210132000
5144100002310
613311344000
72244533445
oct556443600
9220732260
1096094080
114a2739a5
1228222000
1316ba6a04
14ca959cc
1586824c0
hex5ba4780

96094080 has 256 divisors, whose sum is σ = 349574400. Its totient is φ = 24938496.

The previous prime is 96094051. The next prime is 96094091. The reversal of 96094080 is 8049069.

96094080 is a `hidden beast` number, since 9 + 609 + 40 + 8 + 0 = 666.

It is a super-2 number, since 2×960940802 = 18468144422092800, which contains 22 as substring.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1157719 + ... + 1157801.

It is an arithmetic number, because the mean of its divisors is an integer number (1365525).

Almost surely, 296094080 is an apocalyptic number.

96094080 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 96094080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174787200).

96094080 is an abundant number, since it is smaller than the sum of its proper divisors (253480320).

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

96094080 is a wasteful number, since it uses less digits than its factorization.

96094080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 96094080 is about 9802.7587953596. The cubic root of 96094080 is about 458.0352241808.

It can be divided in two parts, 9609 and 4080, that added together give a square (13689 = 1172).

The spelling of 96094080 in words is "ninety-six million, ninety-four thousand, eighty".