Search a number
-
+
117004608 = 2633717569
BaseRepresentation
bin1101111100101…
…01100101000000
322011011110011000
412332111211000
5214423121413
615335452000
72620344210
oct676254500
9264143130
10117004608
1160056326
1233227000
131b3186c6
141177a240
15a413073
hex6f95940

117004608 has 224 divisors, whose sum is σ = 416966400. Its totient is φ = 31408128.

The previous prime is 117004597. The next prime is 117004627. The reversal of 117004608 is 806400711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205348 + ... + 205916.

Almost surely, 2117004608 is an apocalyptic number.

117004608 is a gapful number since it is divisible by the number (18) 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 117004608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208483200).

117004608 is an abundant number, since it is smaller than the sum of its proper divisors (299961792).

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

117004608 is a wasteful number, since it uses less digits than its factorization.

117004608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 117004608 is about 10816.8668291701. The cubic root of 117004608 is about 489.1037455366.

The spelling of 117004608 in words is "one hundred seventeen million, four thousand, six hundred eight".