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116464320 = 26325753109
BaseRepresentation
bin1101111000100…
…01101011000000
322010011000000100
412330101223000
5214303324240
615320122400
72612634060
oct674215300
9263130010
10116464320
115a817405
1233006400
131b1897cb
14116793a0
15a357e30
hex6f11ac0

116464320 has 336 divisors, whose sum is σ = 470733120. Its totient is φ = 25878528.

The previous prime is 116464307. The next prime is 116464321. The reversal of 116464320 is 23464611.

116464320 is a `hidden beast` number, since 1 + 16 + 4 + 643 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (116464321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1068426 + ... + 1068534.

Almost surely, 2116464320 is an apocalyptic number.

116464320 is a gapful number since it is divisible by the number (10) 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 116464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235366560).

116464320 is an abundant number, since it is smaller than the sum of its proper divisors (354268800).

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

116464320 is a wasteful number, since it uses less digits than its factorization.

116464320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 116464320 is about 10791.8636018067. The cubic root of 116464320 is about 488.3497448024.

The spelling of 116464320 in words is "one hundred sixteen million, four hundred sixty-four thousand, three hundred twenty".