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117024912 = 243679127
BaseRepresentation
bin1101111100110…
…10100010010000
322011012111000000
412332122202100
5214424244122
615340130000
72620460334
oct676324220
9264174000
10117024912
116006a604
1233236900
131b324a14
14117837c4
15a4190ac
hex6f9a890

117024912 has 140 divisors (see below), whose sum is σ = 346961920. Its totient is φ = 38211264.

The previous prime is 117024893. The next prime is 117024959. The reversal of 117024912 is 219420711.

117024912 is a `hidden beast` number, since 1 + 170 + 2 + 491 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 27 ways as a sum of consecutive naturals, for example, 921393 + ... + 921519.

Almost surely, 2117024912 is an apocalyptic number.

117024912 is a gapful number since it is divisible by the number (12) 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 117024912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173480960).

117024912 is an abundant number, since it is smaller than the sum of its proper divisors (229937008).

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

117024912 is an equidigital number, since it uses as much as digits as its factorization.

117024912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 117024912 is about 10817.8053227076. The cubic root of 117024912 is about 489.1320355565.

The spelling of 117024912 in words is "one hundred seventeen million, twenty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 81 108 127 144 158 162 216 237 243 254 316 324 381 432 474 486 508 632 648 711 729 762 948 972 1016 1143 1264 1296 1422 1458 1524 1896 1944 2032 2133 2286 2844 2916 3048 3429 3792 3888 4266 4572 5688 5832 6096 6399 6858 8532 9144 10033 10287 11376 11664 12798 13716 17064 18288 19197 20066 20574 25596 27432 30099 30861 34128 38394 40132 41148 51192 54864 57591 60198 61722 76788 80264 82296 90297 92583 102384 115182 120396 123444 153576 160528 164592 180594 185166 230364 240792 246888 270891 307152 361188 370332 460728 481584 493776 541782 722376 740664 812673 921456 1083564 1444752 1481328 1625346 2167128 2438019 3250692 4334256 4876038 6501384 7314057 9752076 13002768 14628114 19504152 29256228 39008304 58512456 117024912