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117643842 = 23217419377
BaseRepresentation
bin1110000001100…
…01101001000010
322012100221000100
413000301221002
5220104100332
615401303230
72625645651
oct700615102
9265327010
10117643842
1160452618
1233494b16
131b4b0654
14118a5198
15a4dc67c
hex7031a42

117643842 has 48 divisors (see below), whose sum is σ = 276500952. Its totient is φ = 36003840.

The previous prime is 117643793. The next prime is 117643843. The reversal of 117643842 is 248346711.

117643842 is a `hidden beast` number, since 1 + 1 + 7 + 643 + 8 + 4 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 62869041 + 54774801 = 7929^2 + 7401^2 .

It is a junction number, because it is equal to n+sod(n) for n = 117643797 and 117643806.

It is not an unprimeable number, because it can be changed into a prime (117643843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7858 + ... + 17234.

Almost surely, 2117643842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117643842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138250476).

117643842 is an abundant number, since it is smaller than the sum of its proper divisors (158857110).

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

117643842 is a wasteful number, since it uses less digits than its factorization.

117643842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9443 (or 9440 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 117643842 is about 10846.3746016814. The cubic root of 117643842 is about 489.9928389902.

The spelling of 117643842 in words is "one hundred seventeen million, six hundred forty-three thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 41 51 82 102 123 153 246 306 369 697 738 1394 2091 4182 6273 9377 12546 18754 28131 56262 84393 159409 168786 318818 384457 478227 768914 956454 1153371 1434681 2306742 2869362 3460113 6535769 6920226 13071538 19607307 39214614 58821921 117643842