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117616080 = 24351925793
BaseRepresentation
bin1110000001010…
…10110111010000
322012022111221010
413000222313100
5220102203310
615400530520
72625502011
oct700526720
9265274833
10117616080
116043377a
1233480a40
131b4a0b1a
1411899008
15a4d4320
hex702add0

117616080 has 80 divisors (see below), whose sum is σ = 383814720. Its totient is φ = 29712384.

The previous prime is 117616049. The next prime is 117616091. The reversal of 117616080 is 80616711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 8337 + ... + 17456.

It is an arithmetic number, because the mean of its divisors is an integer number (4797684).

Almost surely, 2117616080 is an apocalyptic number.

117616080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117616080 is an abundant number, since it is smaller than the sum of its proper divisors (266198640).

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

117616080 is a wasteful number, since it uses less digits than its factorization.

117616080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25828 (or 25822 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 117616080 is about 10845.0947437079. The cubic root of 117616080 is about 489.9542925573.

The spelling of 117616080 in words is "one hundred seventeen million, six hundred sixteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 25793 51586 77379 103172 128965 154758 206344 257930 309516 386895 412688 490067 515860 619032 773790 980134 1031720 1238064 1470201 1547580 1960268 2063440 2450335 2940402 3095160 3920536 4900670 5880804 6190320 7351005 7841072 9801340 11761608 14702010 19602680 23523216 29404020 39205360 58808040 117616080