Search a number
-
+
117566064 = 243271123461
BaseRepresentation
bin1110000000111…
…10101001110000
322012012222022200
413000132221300
5220044103224
615355503200
72625203130
oct700365160
9265188280
10117566064
11603aa140
1233457b00
131b484125
1411884ac0
15a4c45c9
hex701ea70

117566064 has 240 divisors, whose sum is σ = 428972544. Its totient is φ = 29145600.

The previous prime is 117566023. The next prime is 117566069. The reversal of 117566064 is 460665711.

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 (117566069) 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, 254794 + ... + 255254.

Almost surely, 2117566064 is an apocalyptic number.

117566064 is a gapful number since it is divisible by the number (14) 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 117566064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214486272).

117566064 is an abundant number, since it is smaller than the sum of its proper divisors (311406480).

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

117566064 is a wasteful number, since it uses less digits than its factorization.

117566064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 117566064 is about 10842.7885712117. The cubic root of 117566064 is about 489.8848320199.

The spelling of 117566064 in words is "one hundred seventeen million, five hundred sixty-six thousand, sixty-four".