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116506464 = 2531398731
BaseRepresentation
bin1101111000110…
…11111101100000
322010020010211020
412330123331200
5214311201324
615321045440
72613200664
oct674337540
9263203736
10116506464
115a846038
1233026880
131b1a2a49
141168a8a4
15a365679
hex6f1bf60

116506464 has 48 divisors (see below), whose sum is σ = 308064960. Its totient is φ = 38551680.

The previous prime is 116506459. The next prime is 116506483. The reversal of 116506464 is 464605611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8979 + ... + 17709.

It is an arithmetic number, because the mean of its divisors is an integer number (6418020).

Almost surely, 2116506464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116506464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154032480).

116506464 is an abundant number, since it is smaller than the sum of its proper divisors (191558496).

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

116506464 is a wasteful number, since it uses less digits than its factorization.

116506464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8883 (or 8875 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 116506464 is about 10793.8160073257. The cubic root of 116506464 is about 488.4086427540.

The spelling of 116506464 in words is "one hundred sixteen million, five hundred six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 139 278 417 556 834 1112 1668 2224 3336 4448 6672 8731 13344 17462 26193 34924 52386 69848 104772 139696 209544 279392 419088 838176 1213609 2427218 3640827 4854436 7281654 9708872 14563308 19417744 29126616 38835488 58253232 116506464