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117252680 = 235672653
BaseRepresentation
bin1101111110100…
…10001001001000
322011122001102212
412333102021020
5220004041210
615345044252
72622426356
oct677221110
9264561385
10117252680
1160205746
1233326688
131b3a45ac
14118027d6
15a461805
hex6fd2248

117252680 has 48 divisors (see below), whose sum is σ = 268225020. Its totient is φ = 46130304.

The previous prime is 117252677. The next prime is 117252703. The reversal of 117252680 is 86252711.

It can be written as a sum of positive squares in 2 ways, for example, as 112063396 + 5189284 = 10586^2 + 2278^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 179234 + ... + 179886.

Almost surely, 2117252680 is an apocalyptic number.

117252680 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 117252680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134112510).

117252680 is an abundant number, since it is smaller than the sum of its proper divisors (150972340).

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

117252680 is an equidigital number, since it uses as much as digits as its factorization.

117252680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 117252680 is about 10828.3276640486. The cubic root of 117252680 is about 489.4491658229.

The spelling of 117252680 in words is "one hundred seventeen million, two hundred fifty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 536 653 670 1306 1340 2612 2680 3265 4489 5224 6530 8978 13060 17956 22445 26120 35912 43751 44890 87502 89780 175004 179560 218755 350008 437510 875020 1750040 2931317 5862634 11725268 14656585 23450536 29313170 58626340 117252680