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116707360 = 2557119473
BaseRepresentation
bin1101111010011…
…01000000100000
322010121100101211
412331031000200
5214334113420
615325235504
72614665460
oct675150040
9263540354
10116707360
115a972a70
1233102b94
131b243313
14116ddba0
15a3a4e5a
hex6f4d020

116707360 has 96 divisors (see below), whose sum is σ = 343792512. Its totient is φ = 36372480.

The previous prime is 116707351. The next prime is 116707399. The reversal of 116707360 is 63707611.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7584 + ... + 17056.

It is an arithmetic number, because the mean of its divisors is an integer number (3581172).

Almost surely, 2116707360 is an apocalyptic number.

116707360 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 116707360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171896256).

116707360 is an abundant number, since it is smaller than the sum of its proper divisors (227085152).

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

116707360 is a wasteful number, since it uses less digits than its factorization.

116707360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9506 (or 9498 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 116707360 is about 10803.1180684097. The cubic root of 116707360 is about 488.6892080161.

The spelling of 116707360 in words is "one hundred sixteen million, seven hundred seven thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 560 616 770 880 1120 1232 1540 1760 2464 3080 6160 9473 12320 18946 37892 47365 66311 75784 94730 104203 132622 151568 189460 208406 265244 303136 331555 378920 416812 521015 530488 663110 729421 757840 833624 1042030 1060976 1326220 1458842 1515680 1667248 2084060 2121952 2652440 2917684 3334496 3647105 4168120 5304880 5835368 7294210 8336240 10609760 11670736 14588420 16672480 23341472 29176840 58353680 116707360