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116071296 = 2731127479
BaseRepresentation
bin1101110101100…
…01101110000000
322002102000212220
412322301232000
5214203240141
615303451040
72606406165
oct672615600
9262360786
10116071296
115a5790a0
1232a56a80
131b07c953
14115b606c
15a2cb766
hex6eb1b80

116071296 has 64 divisors (see below), whose sum is σ = 336355200. Its totient is φ = 35171840.

The previous prime is 116071289. The next prime is 116071301. The reversal of 116071296 is 692170611.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9516 + ... + 17963.

It is an arithmetic number, because the mean of its divisors is an integer number (5255550).

Almost surely, 2116071296 is an apocalyptic number.

116071296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

116071296 is an abundant number, since it is smaller than the sum of its proper divisors (220283904).

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

116071296 is a wasteful number, since it uses less digits than its factorization.

116071296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27507 (or 27495 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 116071296 is about 10773.6389395598. The cubic root of 116071296 is about 487.7997924595.

The spelling of 116071296 in words is "one hundred sixteen million, seventy-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 27479 54958 82437 109916 164874 219832 302269 329748 439664 604538 659496 879328 906807 1209076 1318992 1758656 1813614 2418152 2637984 3517312 3627228 4836304 5275968 7254456 9672608 10551936 14508912 19345216 29017824 38690432 58035648 116071296