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116916352 = 27732663
BaseRepresentation
bin1101111100000…
…00000010000000
322010222222002021
412332000002000
5214412310402
615333531224
72616526000
oct676000200
9263888067
10116916352
115aaa5a93
12331a3b14
131b2b7497
1411756000
15a3e6d37
hex6f80080

116916352 has 64 divisors (see below), whose sum is σ = 271728000. Its totient is φ = 50088192.

The previous prime is 116916323. The next prime is 116916353. The reversal of 116916352 is 253619611.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (116916353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42573 + ... + 45235.

It is an arithmetic number, because the mean of its divisors is an integer number (4245750).

Almost surely, 2116916352 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 116916352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135864000).

116916352 is an abundant number, since it is smaller than the sum of its proper divisors (154811648).

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

116916352 is an frugal number, since it uses more digits than its factorization.

116916352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2698 (or 2672 counting only the distinct ones).

The product of its digits is 9720, while the sum is 34.

The square root of 116916352 is about 10812.7865048747. The cubic root of 116916352 is about 488.9807384208.

The spelling of 116916352 in words is "one hundred sixteen million, nine hundred sixteen thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 343 392 448 686 784 896 1372 1568 2663 2744 3136 5326 5488 6272 10652 10976 18641 21304 21952 37282 42608 43904 74564 85216 130487 149128 170432 260974 298256 340864 521948 596512 913409 1043896 1193024 1826818 2087792 2386048 3653636 4175584 7307272 8351168 14614544 16702336 29229088 58458176 116916352