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117880 = 2357421
BaseRepresentation
bin11100110001111000
312222200221
4130301320
512233010
62305424
71000450
oct346170
9188627
10117880
1180624
1258274
1341869
1430d60
1524dda
hex1cc78

117880 has 32 divisors (see below), whose sum is σ = 303840. Its totient is φ = 40320.

The previous prime is 117877. The next prime is 117881. The reversal of 117880 is 88711.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70 + ... + 490.

It is an arithmetic number, because the mean of its divisors is an integer number (9495).

2117880 is an apocalyptic number.

117880 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 117880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151920).

117880 is an abundant number, since it is smaller than the sum of its proper divisors (185960).

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

117880 is a wasteful number, since it uses less digits than its factorization.

117880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 25.

The square root of 117880 is about 343.3365695640. The cubic root of 117880 is about 49.0320490043.

Subtracting from 117880 its sum of digits (25), we obtain a triangular number (117855 = T485).

The spelling of 117880 in words is "one hundred seventeen thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 421 842 1684 2105 2947 3368 4210 5894 8420 11788 14735 16840 23576 29470 58940 117880