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117262660 = 225291811117
BaseRepresentation
bin1101111110101…
…00100101000100
322011122120010111
412333110211010
5220004401120
615345202404
72622500434
oct677244504
9264576114
10117262660
1160212199
1233330404
131b3a8cb8
14118062c4
15a46475a
hex6fd4944

117262660 has 48 divisors (see below), whose sum is σ = 256379760. Its totient is φ = 44997120.

The previous prime is 117262643. The next prime is 117262667. The reversal of 117262660 is 66262711.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 47004736 + 70257924 = 6856^2 + 8382^2 .

It is not an unprimeable number, because it can be changed into a prime (117262667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104422 + ... + 105538.

It is an arithmetic number, because the mean of its divisors is an integer number (5341245).

Almost surely, 2117262660 is an apocalyptic number.

117262660 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 117262660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128189880).

117262660 is an abundant number, since it is smaller than the sum of its proper divisors (139117100).

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

117262660 is a wasteful number, since it uses less digits than its factorization.

117262660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 117262660 is about 10828.7884825589. The cubic root of 117262660 is about 489.4630519706.

The spelling of 117262660 in words is "one hundred seventeen million, two hundred sixty-two thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 29 58 116 145 181 290 362 580 724 905 1117 1810 2234 3620 4468 5249 5585 10498 11170 20996 22340 26245 32393 52490 64786 104980 129572 161965 202177 323930 404354 647860 808708 1010885 2021770 4043540 5863133 11726266 23452532 29315665 58631330 117262660