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117624320 = 295114177
BaseRepresentation
bin1110000001011…
…00111000000000
322012022221020022
413000230320000
5220102434240
615401033012
72625535022
oct700547000
9265287208
10117624320
1160439990
1233485768
131b4a47b8
141189c012
15a4d69b5
hex702ce00

117624320 has 80 divisors (see below), whose sum is σ = 307734768. Its totient is φ = 42762240.

The previous prime is 117624317. The next prime is 117624337. The reversal of 117624320 is 23426711.

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

It is a self number, because there is not a number n which added to its sum of digits gives 117624320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26072 + ... + 30248.

Almost surely, 2117624320 is an apocalyptic number.

117624320 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 117624320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153867384).

117624320 is an abundant number, since it is smaller than the sum of its proper divisors (190110448).

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

117624320 is an equidigital number, since it uses as much as digits as its factorization.

117624320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4211 (or 4195 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 117624320 is about 10845.4746323063. The cubic root of 117624320 is about 489.9657341025.

The spelling of 117624320 in words is "one hundred seventeen million, six hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1280 1408 1760 2560 2816 3520 4177 5632 7040 8354 14080 16708 20885 28160 33416 41770 45947 66832 83540 91894 133664 167080 183788 229735 267328 334160 367576 459470 534656 668320 735152 918940 1069312 1336640 1470304 1837880 2138624 2673280 2940608 3675760 5346560 5881216 7351520 10693120 11762432 14703040 23524864 29406080 58812160 117624320