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116162880 = 2635235261
BaseRepresentation
bin1101110110010…
…00000101000000
322002120200111220
412323020011000
5214214203010
615305435040
72610240201
oct673100500
9262520456
10116162880
115a630989
1232a9ba80
131b0b2542
14115db5a8
15a2e8970
hex6ec8140

116162880 has 112 divisors (see below), whose sum is σ = 384925824. Its totient is φ = 29624320.

The previous prime is 116162863. The next prime is 116162911. The reversal of 116162880 is 88261611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19450 + ... + 24710.

Almost surely, 2116162880 is an apocalyptic number.

116162880 is a gapful number since it is divisible by the number (10) 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 116162880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192462912).

116162880 is an abundant number, since it is smaller than the sum of its proper divisors (268762944).

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

116162880 is a wasteful number, since it uses less digits than its factorization.

116162880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5304 (or 5294 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 116162880 is about 10777.8884759493. Note that the first 3 decimals coincide. The cubic root of 116162880 is about 487.9280553260.

The spelling of 116162880 in words is "one hundred sixteen million, one hundred sixty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 138 160 184 192 230 240 276 320 345 368 460 480 552 690 736 920 960 1104 1380 1472 1840 2208 2760 3680 4416 5261 5520 7360 10522 11040 15783 21044 22080 26305 31566 42088 52610 63132 78915 84176 105220 121003 126264 157830 168352 210440 242006 252528 315660 336704 363009 420880 484012 505056 605015 631320 726018 841760 968024 1010112 1210030 1262640 1452036 1683520 1815045 1936048 2420060 2525280 2904072 3630090 3872096 4840120 5050560 5808144 7260180 7744192 9680240 11616288 14520360 19360480 23232576 29040720 38720960 58081440 116162880