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117626880 = 211357547
BaseRepresentation
bin1110000001011…
…01100000000000
322012100001202010
413000231200000
5220103030010
615401052520
72625545340
oct700554000
9265301663
10117626880
11604408a8
1233487140
131b4a5a07
141189cd20
15a4d7620
hex702d800

117626880 has 192 divisors, whose sum is σ = 430859520. Its totient is φ = 26836992.

The previous prime is 117626879. The next prime is 117626897. The reversal of 117626880 is 88626711.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214767 + ... + 215313.

It is an arithmetic number, because the mean of its divisors is an integer number (2244060).

Almost surely, 2117626880 is an apocalyptic number.

117626880 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 117626880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215429760).

117626880 is an abundant number, since it is smaller than the sum of its proper divisors (313232640).

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

117626880 is an equidigital number, since it uses as much as digits as its factorization.

117626880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 117626880 is about 10845.5926532394. The cubic root of 117626880 is about 489.9692886485.

The spelling of 117626880 in words is "one hundred seventeen million, six hundred twenty-six thousand, eight hundred eighty".