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117073152 = 2832721761
BaseRepresentation
bin1101111101001…
…10010100000000
322011021221011200
412332212110000
5214432320102
615341141200
72621051100
oct676462400
9264257150
10117073152
11600a2879
123325a800
131b340971
1411797200
15a42851c
hex6fa6500

117073152 has 324 divisors, whose sum is σ = 422574516. Its totient is φ = 30965760.

The previous prime is 117073147. The next prime is 117073157. The reversal of 117073152 is 251370711.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (117073147) and next prime (117073157).

It can be written as a sum of positive squares in 2 ways, for example, as 40755456 + 76317696 = 6384^2 + 8736^2 .

It is a super-2 number, since 2×1170731522 = 27412245838430208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117073157) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1919202 + ... + 1919262.

Almost surely, 2117073152 is an apocalyptic number.

117073152 is a gapful number since it is divisible by the number (12) 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 117073152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211287258).

117073152 is an abundant number, since it is smaller than the sum of its proper divisors (305501364).

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

117073152 is a wasteful number, since it uses less digits than its factorization.

117073152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 117073152 is about 10820.0347504063. The cubic root of 117073152 is about 489.1992363132.

The spelling of 117073152 in words is "one hundred seventeen million, seventy-three thousand, one hundred fifty-two".