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117507840 = 283571431
BaseRepresentation
bin1110000000100…
…00011100000000
322012010000110020
413000100130000
5220040222330
615354333440
72624541312
oct700203400
9265100406
10117507840
116036a41a
123342a280
131b463788
141186b7b2
15a4b2210
hex7010700

117507840 has 144 divisors (see below), whose sum is σ = 381459456. Its totient is φ = 30822400.

The previous prime is 117507821. The next prime is 117507869. The reversal of 117507840 is 48705711.

It is a super-2 number, since 2×1175078402 = 27616184922931200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 272425 + ... + 272855.

It is an arithmetic number, because the mean of its divisors is an integer number (2649024).

Almost surely, 2117507840 is an apocalyptic number.

117507840 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 117507840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190729728).

117507840 is an abundant number, since it is smaller than the sum of its proper divisors (263951616).

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

117507840 is an equidigital number, since it uses as much as digits as its factorization.

117507840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 33.

The square root of 117507840 is about 10840.1033205408. The cubic root of 117507840 is about 489.8039476688.

The spelling of 117507840 in words is "one hundred seventeen million, five hundred seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 71 80 96 120 128 142 160 192 213 240 256 284 320 355 384 426 431 480 568 640 710 768 852 862 960 1065 1136 1280 1293 1420 1704 1724 1920 2130 2155 2272 2586 2840 3408 3448 3840 4260 4310 4544 5172 5680 6465 6816 6896 8520 8620 9088 10344 11360 12930 13632 13792 17040 17240 18176 20688 22720 25860 27264 27584 30601 34080 34480 41376 45440 51720 54528 55168 61202 68160 68960 82752 90880 91803 103440 110336 122404 136320 137920 153005 165504 183606 206880 244808 272640 275840 306010 331008 367212 413760 459015 489616 551680 612020 734424 827520 918030 979232 1224040 1468848 1655040 1836060 1958464 2448080 2937696 3672120 3916928 4896160 5875392 7344240 7833856 9792320 11750784 14688480 19584640 23501568 29376960 39169280 58753920 117507840