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117124920 = 23335119859
BaseRepresentation
bin1101111101100…
…10111100111000
322011101120012000
412332302330320
5214440444140
615342221000
72621355033
oct676627470
9264346160
10117124920
1160128760
1233284760
131b35b3b3
14117ac01a
15a438a30
hex6fb2f38

117124920 has 128 divisors (see below), whose sum is σ = 425952000. Its totient is φ = 28391040.

The previous prime is 117124907. The next prime is 117124957. The reversal of 117124920 is 29421711.

117124920 is a `hidden beast` number, since 1 + 171 + 2 + 492 + 0 = 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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6951 + ... + 16809.

It is an arithmetic number, because the mean of its divisors is an integer number (3327750).

Almost surely, 2117124920 is an apocalyptic number.

117124920 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 117124920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212976000).

117124920 is an abundant number, since it is smaller than the sum of its proper divisors (308827080).

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

117124920 is a wasteful number, since it uses less digits than its factorization.

117124920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9890 (or 9880 counting only the distinct ones).

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

The square root of 117124920 is about 10822.4267149286. The cubic root of 117124920 is about 489.2713312208.

The spelling of 117124920 in words is "one hundred seventeen million, one hundred twenty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 5940 9859 11880 19718 29577 39436 49295 59154 78872 88731 98590 108449 118308 147885 177462 197180 216898 236616 266193 295770 325347 354924 394360 433796 443655 532386 542245 591540 650694 709848 867592 887310 976041 1064772 1084490 1183080 1301388 1330965 1626735 1774620 1952082 2129544 2168980 2602776 2661930 2928123 3253470 3549240 3904164 4337960 4880205 5323860 5856246 6506940 7808328 9760410 10647720 11712492 13013880 14640615 19520820 23424984 29281230 39041640 58562460 117124920