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117438126 = 231319109727
BaseRepresentation
bin1101111111111…
…11011010101110
322011222110211020
412333333122232
5220031010001
615353035010
72624131131
oct677773256
9264873736
10117438126
1160322003
12333b5a66
131b43ab20
1411850218
15a49b736
hex6fff6ae

117438126 has 64 divisors (see below), whose sum is σ = 269068800. Its totient is φ = 33872256.

The previous prime is 117438119. The next prime is 117438157. The reversal of 117438126 is 621834711.

117438126 = 2862 + 2872 + ... + 7212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161175 + ... + 161901.

It is an arithmetic number, because the mean of its divisors is an integer number (4204200).

Almost surely, 2117438126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117438126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134534400).

117438126 is an abundant number, since it is smaller than the sum of its proper divisors (151630674).

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

117438126 is a wasteful number, since it uses less digits than its factorization.

117438126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873.

The product of its digits is 8064, while the sum is 33.

The square root of 117438126 is about 10836.8872837176. The cubic root of 117438126 is about 489.7070663394.

The spelling of 117438126 in words is "one hundred seventeen million, four hundred thirty-eight thousand, one hundred twenty-six".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 109 114 218 247 327 494 654 727 741 1417 1454 1482 2071 2181 2834 4142 4251 4362 6213 8502 9451 12426 13813 18902 26923 27626 28353 41439 53846 56706 79243 80769 82878 158486 161538 179569 237729 359138 475458 538707 1030159 1077414 1505617 2060318 3011234 3090477 4516851 6180954 9033702 19573021 39146042 58719063 117438126