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116678560 = 2557110271
BaseRepresentation
bin1101111010001…
…01111110100000
322010112212220011
412331011332200
5214332203220
615324454304
72614515505
oct675057640
9263485804
10116678560
115a953369
12330aa394
131b23318b
14116d34ac
15a39b65a
hex6f45fa0

116678560 has 48 divisors (see below), whose sum is σ = 279562752. Its totient is φ = 46009600.

The previous prime is 116678537. The next prime is 116678567. The reversal of 116678560 is 65876611.

It is a super-2 number, since 2×1166785602 = 27227772727347200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (116678567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6225 + ... + 16495.

It is an arithmetic number, because the mean of its divisors is an integer number (5824224).

Almost surely, 2116678560 is an apocalyptic number.

116678560 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 116678560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139781376).

116678560 is an abundant number, since it is smaller than the sum of its proper divisors (162884192).

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

116678560 is a wasteful number, since it uses less digits than its factorization.

116678560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10357 (or 10349 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 116678560 is about 10801.7850376685. The cubic root of 116678560 is about 488.6490065896.

The spelling of 116678560 in words is "one hundred sixteen million, six hundred seventy-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 142 160 284 355 568 710 1136 1420 2272 2840 5680 10271 11360 20542 41084 51355 82168 102710 164336 205420 328672 410840 729241 821680 1458482 1643360 2916964 3646205 5833928 7292410 11667856 14584820 23335712 29169640 58339280 116678560