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117530880 = 2835127241
BaseRepresentation
bin1110000000101…
…10000100000000
322012011012001120
413000112010000
5220041442010
615355032240
72624665425
oct700260400
9265135046
10117530880
1160385765
123343b680
131b4710cc
1411875d4c
15a4b8e70
hex7016100

117530880 has 144 divisors (see below), whose sum is σ = 379889664. Its totient is φ = 30965760.

The previous prime is 117530869. The next prime is 117530893. The reversal of 117530880 is 88035711.

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, 487560 + ... + 487800.

Almost surely, 2117530880 is an apocalyptic number.

117530880 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 117530880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189944832).

117530880 is an abundant number, since it is smaller than the sum of its proper divisors (262358784).

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

117530880 is a wasteful number, since it uses less digits than its factorization.

117530880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 117530880 is about 10841.1659889516. The cubic root of 117530880 is about 489.8359578606.

The spelling of 117530880 in words is "one hundred seventeen million, five hundred thirty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 127 128 160 192 240 241 254 256 320 381 384 480 482 508 635 640 723 762 768 960 964 1016 1205 1270 1280 1446 1524 1905 1920 1928 2032 2410 2540 2892 3048 3615 3810 3840 3856 4064 4820 5080 5784 6096 7230 7620 7712 8128 9640 10160 11568 12192 14460 15240 15424 16256 19280 20320 23136 24384 28920 30480 30607 30848 32512 38560 40640 46272 48768 57840 60960 61214 61696 77120 81280 91821 92544 97536 115680 121920 122428 153035 154240 162560 183642 185088 231360 243840 244856 306070 308480 367284 459105 462720 487680 489712 612140 734568 918210 925440 979424 1224280 1469136 1836420 1958848 2448560 2938272 3672840 3917696 4897120 5876544 7345680 7835392 9794240 11753088 14691360 19588480 23506176 29382720 39176960 58765440 117530880