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117102760 = 23543103661
BaseRepresentation
bin1101111101011…
…01100010101000
322011100102210021
412332231202220
5214434242020
615341530224
72621233315
oct676554250
9264312707
10117102760
1160113045
1233273974
131b351298
14117a3d0c
15a4321aa
hex6fad8a8

117102760 has 64 divisors (see below), whose sum is σ = 272638080. Its totient is φ = 45239040.

The previous prime is 117102707. The next prime is 117102761. The reversal of 117102760 is 67201711.

It is not an unprimeable number, because it can be changed into a prime (117102761) 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, 176830 + ... + 177490.

It is an arithmetic number, because the mean of its divisors is an integer number (4259970).

Almost surely, 2117102760 is an apocalyptic number.

117102760 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 117102760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136319040).

117102760 is an abundant number, since it is smaller than the sum of its proper divisors (155535320).

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

117102760 is a wasteful number, since it uses less digits than its factorization.

117102760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 25.

The square root of 117102760 is about 10821.4028665418. The cubic root of 117102760 is about 489.2404726112.

The spelling of 117102760 in words is "one hundred seventeen million, one hundred two thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 43 86 103 172 206 215 344 412 430 515 661 824 860 1030 1322 1720 2060 2644 3305 4120 4429 5288 6610 8858 13220 17716 22145 26440 28423 35432 44290 56846 68083 88580 113692 136166 142115 177160 227384 272332 284230 340415 544664 568460 680830 1136920 1361660 2723320 2927569 5855138 11710276 14637845 23420552 29275690 58551380 117102760