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117876096 = 27321317463
BaseRepresentation
bin1110000011010…
…10010110000000
322012210201121100
413001222112000
5220134013341
615410254400
72630634042
oct701522600
9265721540
10117876096
11605a1068
1233587400
131b562290
1411925a92
15a5363b6
hex706a580

117876096 has 192 divisors, whose sum is σ = 387616320. Its totient is φ = 34062336.

The previous prime is 117876089. The next prime is 117876103. The reversal of 117876096 is 690678711.

It is an interprime number because it is at equal distance from previous prime (117876089) and next prime (117876103).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254361 + ... + 254823.

It is an arithmetic number, because the mean of its divisors is an integer number (2018835).

Almost surely, 2117876096 is an apocalyptic number.

117876096 is a gapful number since it is divisible by the number (16) 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 117876096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193808160).

117876096 is an abundant number, since it is smaller than the sum of its proper divisors (269740224).

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

117876096 is a wasteful number, since it uses less digits than its factorization.

117876096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 117876096 is about 10857.0758494173. The cubic root of 117876096 is about 490.3150771020.

It can be divided in two parts, 117 and 876096, that multiplied together give a cube (102503232 = 4683).

The spelling of 117876096 in words is "one hundred seventeen million, eight hundred seventy-six thousand, ninety-six".