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117884160 = 28355379
BaseRepresentation
bin1110000011011…
…00010100000000
322012211010200000
413001230110000
5220134243120
615410400000
72630666412
oct701542400
9265733600
10117884160
11605a7129
1233590000
131b565b54
14119289b2
15a538990
hex706c500

117884160 has 216 divisors, whose sum is σ = 424089120. Its totient is φ = 31352832.

The previous prime is 117884141. The next prime is 117884161. The reversal of 117884160 is 61488711.

It is a tau number, because it is divible by the number of its divisors (216).

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 (117884161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310851 + ... + 311229.

Almost surely, 2117884160 is an apocalyptic number.

117884160 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 117884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212044560).

117884160 is an abundant number, since it is smaller than the sum of its proper divisors (306204960).

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

117884160 is an frugal number, since it uses more digits than its factorization.

117884160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 117884160 is about 10857.4472137791. The cubic root of 117884160 is about 490.3262577987.

The spelling of 117884160 in words is "one hundred seventeen million, eight hundred eighty-four thousand, one hundred sixty".