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117506160 = 2433554401
BaseRepresentation
bin1110000000100…
…00000001110000
322012002221011000
413000100001300
5220040144120
615354322000
72624533362
oct700200160
9265087130
10117506160
1160369132
1233429300
131b462a95
141186ad32
15a4b1990
hex7010070

117506160 has 80 divisors (see below), whose sum is σ = 404750880. Its totient is φ = 31334400.

The previous prime is 117506153. The next prime is 117506167. The reversal of 117506160 is 61605711.

It is an interprime number because it is at equal distance from previous prime (117506153) and next prime (117506167).

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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117506167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25041 + ... + 29360.

It is an arithmetic number, because the mean of its divisors is an integer number (5059386).

Almost surely, 2117506160 is an apocalyptic number.

117506160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117506160 is an abundant number, since it is smaller than the sum of its proper divisors (287244720).

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

117506160 is a wasteful number, since it uses less digits than its factorization.

117506160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54423 (or 54411 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 117506160 is about 10840.0258302275. The cubic root of 117506160 is about 489.8016134287.

The spelling of 117506160 in words is "one hundred seventeen million, five hundred six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 54401 108802 163203 217604 272005 326406 435208 489609 544010 652812 816015 870416 979218 1088020 1305624 1468827 1632030 1958436 2176040 2448045 2611248 2937654 3264060 3916872 4352080 4896090 5875308 6528120 7344135 7833744 9792180 11750616 13056240 14688270 19584360 23501232 29376540 39168720 58753080 117506160