Search a number
-
+
117882000 = 2433533759
BaseRepresentation
bin1110000011010…
…11110010010000
322012211000201000
413001223302100
5220134211000
615410342000
72630660205
oct701536220
9265730630
10117882000
11605a5545
123358a900
131b564b82
1411927cac
15a538000
hex706bc90

117882000 has 320 divisors, whose sum is σ = 441043200. Its totient is φ = 30067200.

The previous prime is 117881999. The next prime is 117882031. The reversal of 117882000 is 288711.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1997971 + ... + 1998029.

It is an arithmetic number, because the mean of its divisors is an integer number (1378260).

Almost surely, 2117882000 is an apocalyptic number.

117882000 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 117882000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220521600).

117882000 is an abundant number, since it is smaller than the sum of its proper divisors (323161200).

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

117882000 is a wasteful number, since it uses less digits than its factorization.

117882000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 117882000 is about 10857.3477424277. The cubic root of 117882000 is about 490.3232630192.

The spelling of 117882000 in words is "one hundred seventeen million, eight hundred eighty-two thousand".