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117436680 = 233251731619
BaseRepresentation
bin1101111111111…
…11000100001000
322011222101211200
412333333010020
5220030433210
615353024200
72624123664
oct677770410
9264871750
10117436680
1160320a09
12333b5060
131b43a27a
141184d8a4
15a49b0c0
hex6fff108

117436680 has 192 divisors, whose sum is σ = 417830400. Its totient is φ = 28477440.

The previous prime is 117436679. The next prime is 117436681. The reversal of 117436680 is 86634711.

117436680 = T280 + T281 + ... + T898.

It is an interprime number because it is at equal distance from previous prime (117436679) and next prime (117436681).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (117436681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189411 + ... + 190029.

It is an arithmetic number, because the mean of its divisors is an integer number (2176200).

Almost surely, 2117436680 is an apocalyptic number.

117436680 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 117436680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208915200).

117436680 is an abundant number, since it is smaller than the sum of its proper divisors (300393720).

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

117436680 is a wasteful number, since it uses less digits than its factorization.

117436680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 117436680 is about 10836.8205669375. The cubic root of 117436680 is about 489.7050564318.

The spelling of 117436680 in words is "one hundred seventeen million, four hundred thirty-six thousand, six hundred eighty".