Search a number
-
+
116718080 = 295127359
BaseRepresentation
bin1101111010011…
…11101000000000
322010121220002212
412331033220000
5214334434310
615325401252
72615041643
oct675175000
9263556085
10116718080
115a980026
1233109228
131b24816b
1411703a5a
15a3a8205
hex6f4fa00

116718080 has 80 divisors (see below), whose sum is σ = 282839040. Its totient is φ = 46190592.

The previous prime is 116718079. The next prime is 116718097. The reversal of 116718080 is 80817611.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1167180802 = 27246220397772800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 324941 + ... + 325299.

It is an arithmetic number, because the mean of its divisors is an integer number (3535488).

Almost surely, 2116718080 is an apocalyptic number.

116718080 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 116718080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141419520).

116718080 is an abundant number, since it is smaller than the sum of its proper divisors (166120960).

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

116718080 is an equidigital number, since it uses as much as digits as its factorization.

116718080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 32.

The square root of 116718080 is about 10803.6142100688. The cubic root of 116718080 is about 488.7041701914.

The spelling of 116718080 in words is "one hundred sixteen million, seven hundred eighteen thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 128 160 254 256 320 359 508 512 635 640 718 1016 1270 1280 1436 1795 2032 2540 2560 2872 3590 4064 5080 5744 7180 8128 10160 11488 14360 16256 20320 22976 28720 32512 40640 45593 45952 57440 65024 81280 91186 91904 114880 162560 182372 183808 227965 229760 325120 364744 455930 459520 729488 911860 919040 1458976 1823720 2917952 3647440 5835904 7294880 11671808 14589760 23343616 29179520 58359040 116718080