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117807372 = 2235196379
BaseRepresentation
bin1110000010110…
…01100100001100
322012200020100000
413001121210030
5220124313442
615405004300
72630226504
oct701314414
9265606300
10117807372
1160554471
1233553690
131b539c07
1411908a04
15a520d4c
hex705990c

117807372 has 72 divisors (see below), whose sum is σ = 325124800. Its totient is φ = 37196496.

The previous prime is 117807343. The next prime is 117807377. The reversal of 117807372 is 273708711.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (117807377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15279 + ... + 21657.

Almost surely, 2117807372 is an apocalyptic number.

117807372 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 117807372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162562400).

117807372 is an abundant number, since it is smaller than the sum of its proper divisors (207317428).

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

117807372 is a wasteful number, since it uses less digits than its factorization.

117807372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6417 (or 6403 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The square root of 117807372 is about 10853.9104473918. The cubic root of 117807372 is about 490.2197709142.

The spelling of 117807372 in words is "one hundred seventeen million, eight hundred seven thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 243 324 342 486 513 684 972 1026 1539 2052 3078 4617 6156 6379 9234 12758 18468 19137 25516 38274 57411 76548 114822 121201 172233 229644 242402 344466 363603 484804 516699 688932 727206 1033398 1090809 1454412 1550097 2066796 2181618 3100194 3272427 4363236 6200388 6544854 9817281 13089708 19634562 29451843 39269124 58903686 117807372