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117864480 = 253531892
BaseRepresentation
bin1110000011001…
…11100000100000
322012210010200010
413001213200200
5220133130410
615410124520
72630555136
oct701474040
9265703603
10117864480
1160593368
1233580740
131b559bc6
1411921756
15a532c20
hex7067820

117864480 has 144 divisors (see below), whose sum is σ = 387604224. Its totient is φ = 30074880.

The previous prime is 117864479. The next prime is 117864493. The reversal of 117864480 is 84468711.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1324276 + ... + 1324364.

It is an arithmetic number, because the mean of its divisors is an integer number (2691696).

Almost surely, 2117864480 is an apocalyptic number.

117864480 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 117864480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193802112).

117864480 is an abundant number, since it is smaller than the sum of its proper divisors (269739744).

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

117864480 is an equidigital number, since it uses as much as digits as its factorization.

117864480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 117864480 is about 10856.5408855676. The cubic root of 117864480 is about 490.2989706783.

The spelling of 117864480 in words is "one hundred seventeen million, eight hundred sixty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 89 93 96 120 124 155 160 178 186 240 248 267 310 356 372 445 465 480 496 534 620 712 744 890 930 992 1068 1240 1335 1424 1488 1780 1860 2136 2480 2670 2759 2848 2976 3560 3720 4272 4960 5340 5518 7120 7440 7921 8277 8544 10680 11036 13795 14240 14880 15842 16554 21360 22072 23763 27590 31684 33108 39605 41385 42720 44144 47526 55180 63368 66216 79210 82770 88288 95052 110360 118815 126736 132432 158420 165540 190104 220720 237630 245551 253472 264864 316840 331080 380208 441440 475260 491102 633680 662160 736653 760416 950520 982204 1227755 1267360 1324320 1473306 1901040 1964408 2455510 2946612 3683265 3802080 3928816 4911020 5893224 7366530 7857632 9822040 11786448 14733060 19644080 23572896 29466120 39288160 58932240 117864480