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116912064 = 2635311489
BaseRepresentation
bin1101111011111…
…10111111000000
322010222202012110
412331332333000
5214412141224
615333455320
72616510333
oct675767700
9263882173
10116912064
115aaa2845
12331a1540
131b2b5549
141175461a
15a3e5929
hex6f7efc0

116912064 has 56 divisors (see below), whose sum is σ = 315193680. Its totient is φ = 38232064.

The previous prime is 116912041. The next prime is 116912071. The reversal of 116912064 is 460219611.

It is a happy number.

It is a super-3 number, since 3×1169120643 (a number of 25 digits) contains 333 as substring.

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, 4432 + ... + 15920.

Almost surely, 2116912064 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 116912064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157596840).

116912064 is an abundant number, since it is smaller than the sum of its proper divisors (198281616).

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

116912064 is a wasteful number, since it uses less digits than its factorization.

116912064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11557 (or 11547 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 116912064 is about 10812.5882192933. The cubic root of 116912064 is about 488.9747604288.

The spelling of 116912064 in words is "one hundred sixteen million, nine hundred twelve thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 159 192 212 318 424 636 848 1272 1696 2544 3392 5088 10176 11489 22978 34467 45956 68934 91912 137868 183824 275736 367648 551472 608917 735296 1102944 1217834 1826751 2205888 2435668 3653502 4871336 7307004 9742672 14614008 19485344 29228016 38970688 58456032 116912064