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116516352 = 293312447
BaseRepresentation
bin1101111000111…
…10011000000000
322010020122101110
412330132120000
5214312010402
615321203320
72613241551
oct674363000
9263218343
10116516352
115a852507
1233030540
131b1a73b4
1411690328
15a36856c
hex6f1e600

116516352 has 80 divisors (see below), whose sum is σ = 320550912. Its totient is φ = 37570560.

The previous prime is 116516339. The next prime is 116516359. The reversal of 116516352 is 253615611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116516359) 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, 46393 + ... + 48839.

Almost surely, 2116516352 is an apocalyptic number.

116516352 is a gapful number since it is divisible by the number (12) 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 116516352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160275456).

116516352 is an abundant number, since it is smaller than the sum of its proper divisors (204034560).

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

116516352 is an equidigital number, since it uses as much as digits as its factorization.

116516352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2499 (or 2483 counting only the distinct ones).

The product of its digits is 5400, while the sum is 30.

The square root of 116516352 is about 10794.2740376553. The cubic root of 116516352 is about 488.4224595783.

The spelling of 116516352 in words is "one hundred sixteen million, five hundred sixteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1488 1536 1984 2447 2976 3968 4894 5952 7341 7936 9788 11904 14682 15872 19576 23808 29364 39152 47616 58728 75857 78304 117456 151714 156608 227571 234912 303428 313216 455142 469824 606856 626432 910284 939648 1213712 1252864 1820568 1879296 2427424 3641136 3758592 4854848 7282272 9709696 14564544 19419392 29129088 38838784 58258176 116516352