Search a number
-
+
117022400 = 26521161109
BaseRepresentation
bin1101111100110…
…01111011000000
322011012100112222
412332121323000
5214424204100
615340110212
72620450115
oct676317300
9264170488
10117022400
1160068730
1233235368
131b323831
141178290c
15a418485
hex6f99ec0

117022400 has 168 divisors, whose sum is σ = 322204080. Its totient is φ = 41472000.

The previous prime is 117022391. The next prime is 117022457. The reversal of 117022400 is 4220711.

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, 1073546 + ... + 1073654.

Almost surely, 2117022400 is an apocalyptic number.

117022400 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 117022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161102040).

117022400 is an abundant number, since it is smaller than the sum of its proper divisors (205181680).

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

117022400 is a wasteful number, since it uses less digits than its factorization.

117022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 117022400 is about 10817.6892172035. The cubic root of 117022400 is about 489.1285357078.

The spelling of 117022400 in words is "one hundred seventeen million, twenty-two thousand, four hundred".