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117512700 = 223521033803
BaseRepresentation
bin1110000000100…
…01100111111100
322012010021010020
413000101213330
5220040401300
615354412140
72624561424
oct700214774
9265107106
10117512700
1160373038
1233431050
131b465a56
141186d484
15a4b38a0
hex70119fc

117512700 has 72 divisors (see below), whose sum is σ = 343394688. Its totient is φ = 31024320.

The previous prime is 117512693. The next prime is 117512711. The reversal of 117512700 is 7215711.

It is a happy number.

It is a super-2 number, since 2×1175127002 = 27618469322580000, which contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 28999 + ... + 32801.

Almost surely, 2117512700 is an apocalyptic number.

117512700 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 117512700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171697344).

117512700 is an abundant number, since it is smaller than the sum of its proper divisors (225881988).

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

117512700 is a wasteful number, since it uses less digits than its factorization.

117512700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3923 (or 3916 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 24.

The square root of 117512700 is about 10840.3274858281. The cubic root of 117512700 is about 489.8107001668.

The spelling of 117512700 in words is "one hundred seventeen million, five hundred twelve thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 103 150 206 300 309 412 515 618 1030 1236 1545 2060 2575 3090 3803 5150 6180 7606 7725 10300 11409 15212 15450 19015 22818 30900 38030 45636 57045 76060 95075 114090 190150 228180 285225 380300 391709 570450 783418 1140900 1175127 1566836 1958545 2350254 3917090 4700508 5875635 7834180 9792725 11751270 19585450 23502540 29378175 39170900 58756350 117512700