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117299520 = 26325132241
BaseRepresentation
bin1101111110111…
…01100101000000
322011201102200200
412333131211000
5220012041040
615350045200
72623013052
oct677354500
9264642620
10117299520
1160237958
1233349800
131b3bca00
14118158d2
15a470630
hex6fdd940

117299520 has 252 divisors, whose sum is σ = 438697116. Its totient is φ = 28753920.

The previous prime is 117299491. The next prime is 117299531. The reversal of 117299520 is 25992711.

It can be written as a sum of positive squares in 6 ways, for example, as 12278016 + 105021504 = 3504^2 + 10248^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 486600 + ... + 486840.

Almost surely, 2117299520 is an apocalyptic number.

117299520 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 117299520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219348558).

117299520 is an abundant number, since it is smaller than the sum of its proper divisors (321397596).

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

117299520 is a wasteful number, since it uses less digits than its factorization.

117299520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 117299520 is about 10830.4902936109. The cubic root of 117299520 is about 489.5143320571.

The spelling of 117299520 in words is "one hundred seventeen million, two hundred ninety-nine thousand, five hundred twenty".