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117189504 = 273489127
BaseRepresentation
bin1101111110000…
…10101110000000
322011111211210000
412333002232000
5220000031004
615343440000
72622044235
oct677025600
9264454700
10117189504
1160172233
12332b6000
131b381903
14117c778c
15a44cc39
hex6fc2b80

117189504 has 160 divisors (see below), whose sum is σ = 355449600. Its totient is φ = 38320128.

The previous prime is 117189487. The next prime is 117189529. The reversal of 117189504 is 405981711.

117189504 is a `hidden beast` number, since 1 + 1 + 71 + 89 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 922689 + ... + 922815.

It is an arithmetic number, because the mean of its divisors is an integer number (2221560).

Almost surely, 2117189504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117189504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177724800).

117189504 is an abundant number, since it is smaller than the sum of its proper divisors (238260096).

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

117189504 is an equidigital number, since it uses as much as digits as its factorization.

117189504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The square root of 117189504 is about 10825.4101077049. The cubic root of 117189504 is about 489.3612446039.

The spelling of 117189504 in words is "one hundred seventeen million, one hundred eighty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 89 96 108 127 128 144 162 178 192 216 254 267 288 324 356 381 384 432 508 534 576 648 712 762 801 864 1016 1068 1143 1152 1296 1424 1524 1602 1728 2032 2136 2286 2403 2592 2848 3048 3204 3429 3456 4064 4272 4572 4806 5184 5696 6096 6408 6858 7209 8128 8544 9144 9612 10287 10368 11303 11392 12192 12816 13716 14418 16256 17088 18288 19224 20574 22606 24384 25632 27432 28836 33909 34176 36576 38448 41148 45212 48768 51264 54864 57672 67818 73152 76896 82296 90424 101727 102528 109728 115344 135636 146304 153792 164592 180848 203454 219456 230688 271272 305181 307584 329184 361696 406908 438912 461376 542544 610362 658368 723392 813816 915543 922752 1085088 1220724 1316736 1446784 1627632 1831086 2170176 2441448 3255264 3662172 4340352 4882896 6510528 7324344 9765792 13021056 14648688 19531584 29297376 39063168 58594752 117189504