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117355392 = 27357311
BaseRepresentation
bin1101111111010…
…11001110000000
322011211021100000
412333223032000
5220020333032
615351200000
72623335000
oct677531600
9264737300
10117355392
1160275930
1233376000
131b40c27b
141182c000
15a481e7c
hex6feb380

117355392 has 384 divisors, whose sum is σ = 445536000. Its totient is φ = 30481920.

The previous prime is 117355363. The next prime is 117355393. The reversal of 117355392 is 293553711.

117355392 is a `hidden beast` number, since 1 + 17 + 3 + 553 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117355393) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10668667 + ... + 10668677.

It is an arithmetic number, because the mean of its divisors is an integer number (1160250).

Almost surely, 2117355392 is an apocalyptic number.

117355392 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 117355392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222768000).

117355392 is an abundant number, since it is smaller than the sum of its proper divisors (328180608).

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

117355392 is an frugal number, since it uses more digits than its factorization.

117355392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 23 counting only the distinct ones).

The product of its digits is 28350, while the sum is 36.

The square root of 117355392 is about 10833.0693711432. The cubic root of 117355392 is about 489.5920413931.

It can be divided in two parts, 1173 and 55392, that added together give a palindrome (56565).

The spelling of 117355392 in words is "one hundred seventeen million, three hundred fifty-five thousand, three hundred ninety-two".