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116768880 = 243251271277
BaseRepresentation
bin1101111010111…
…00000001110000
322010201110210100
412331130001300
5214343101010
615330432400
72615343024
oct675340160
9263643710
10116768880
115aa05208
1233132700
131b265317
1411718384
15a3b82c0
hex6f5c070

116768880 has 120 divisors (see below), whose sum is σ = 395546112. Its totient is φ = 30868992.

The previous prime is 116768849. The next prime is 116768881. The reversal of 116768880 is 88867611.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116768881) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 90802 + ... + 92078.

Almost surely, 2116768880 is an apocalyptic number.

116768880 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 116768880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197773056).

116768880 is an abundant number, since it is smaller than the sum of its proper divisors (278777232).

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

116768880 is a wasteful number, since it uses less digits than its factorization.

116768880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 116768880 is about 10805.9650193770. The cubic root of 116768880 is about 488.7750605823.

The spelling of 116768880 in words is "one hundred sixteen million, seven hundred sixty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 127 144 180 240 254 360 381 508 635 720 762 1016 1143 1270 1277 1524 1905 2032 2286 2540 2554 3048 3810 3831 4572 5080 5108 5715 6096 6385 7620 7662 9144 10160 10216 11430 11493 12770 15240 15324 18288 19155 20432 22860 22986 25540 30480 30648 38310 45720 45972 51080 57465 61296 76620 91440 91944 102160 114930 153240 162179 183888 229860 306480 324358 459720 486537 648716 810895 919440 973074 1297432 1459611 1621790 1946148 2432685 2594864 2919222 3243580 3892296 4865370 5838444 6487160 7298055 7784592 9730740 11676888 12974320 14596110 19461480 23353776 29192220 38922960 58384440 116768880