Search a number
-
+
117763008 = 26311237137
BaseRepresentation
bin1110000010011…
…10101111000000
322012120222110220
413001032233000
5220121404013
615404023040
72626653246
oct701165700
9265528426
10117763008
1160524100
1233531a80
131b52296c
14118d6796
15a512b23
hex704ebc0

117763008 has 168 divisors, whose sum is σ = 354305616. Its totient is φ = 34467840.

The previous prime is 117762977. The next prime is 117763039. The reversal of 117763008 is 800367711.

It is an interprime number because it is at equal distance from previous prime (117762977) and next prime (117763039).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 117763008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 859516 + ... + 859652.

It is an arithmetic number, because the mean of its divisors is an integer number (2108962).

Almost surely, 2117763008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117763008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177152808).

117763008 is an abundant number, since it is smaller than the sum of its proper divisors (236542608).

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

117763008 is a wasteful number, since it uses less digits than its factorization.

117763008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 117763008 is about 10851.8665675542. The cubic root of 117763008 is about 490.1582273959.

The spelling of 117763008 in words is "one hundred seventeen million, seven hundred sixty-three thousand, eight".