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117160000 = 265429101
BaseRepresentation
bin1101111101110…
…11100001000000
322011110100022021
412332323201000
5214443110000
615343051224
72621562226
oct676734100
9264410267
10117160000
1160152051
12332a0b14
131b371359
14117bab16
15a44411a
hex6fbb840

117160000 has 140 divisors (see below), whose sum is σ = 303512220. Its totient is φ = 44800000.

The previous prime is 117159989. The next prime is 117160003. The reversal of 117160000 is 61711.

It can be written as a sum of positive squares in 10 ways, for example, as 56070144 + 61089856 = 7488^2 + 7816^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117160003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1159950 + ... + 1160050.

Almost surely, 2117160000 is an apocalyptic number.

117160000 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 117160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151756110).

117160000 is an abundant number, since it is smaller than the sum of its proper divisors (186352220).

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

117160000 is an equidigital number, since it uses as much as digits as its factorization.

117160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 16.

The square root of 117160000 is about 10824.0473021878. The cubic root of 117160000 is about 489.3201734456.

The spelling of 117160000 in words is "one hundred seventeen million, one hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 101 116 125 145 160 200 202 232 250 290 320 400 404 464 500 505 580 625 725 800 808 928 1000 1010 1160 1250 1450 1600 1616 1856 2000 2020 2320 2500 2525 2900 2929 3232 3625 4000 4040 4640 5000 5050 5800 5858 6464 7250 8000 8080 9280 10000 10100 11600 11716 12625 14500 14645 16160 18125 20000 20200 23200 23432 25250 29000 29290 32320 36250 40000 40400 46400 46864 50500 58000 58580 63125 72500 73225 80800 93728 101000 116000 117160 126250 145000 146450 161600 187456 202000 232000 234320 252500 290000 292900 366125 404000 468640 505000 580000 585800 732250 808000 937280 1010000 1160000 1171600 1464500 1830625 2020000 2343200 2929000 3661250 4040000 4686400 5858000 7322500 11716000 14645000 23432000 29290000 58580000 117160000