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117936468 = 223213252001
BaseRepresentation
bin1110000011110…
…01000101010100
322012220210102100
413001321011110
5220142431333
615411442100
72631305046
oct701710524
9265823370
10117936468
1160632461
12335b6330
131b5838c0
141193da96
15a549213
hex7079154

117936468 has 36 divisors (see below), whose sum is σ = 321050548. Its totient is φ = 36288000.

The previous prime is 117936461. The next prime is 117936503. The reversal of 117936468 is 864639711.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 34433424 + 83503044 = 5868^2 + 9138^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117936461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125533 + ... + 126468.

Almost surely, 2117936468 is an apocalyptic number.

117936468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

117936468 is an abundant number, since it is smaller than the sum of its proper divisors (203114080).

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

117936468 is a wasteful number, since it uses less digits than its factorization.

117936468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252024 (or 252019 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 117936468 is about 10859.8558001476. The cubic root of 117936468 is about 490.3987702077.

The spelling of 117936468 in words is "one hundred seventeen million, nine hundred thirty-six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 252001 504002 756003 1008004 1512006 2268009 3024012 3276013 4536018 6552026 9072036 9828039 13104052 19656078 29484117 39312156 58968234 117936468