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117939600 = 2432521812
BaseRepresentation
bin1110000011110…
…01110110010000
322012220221201100
413001321312100
5220143031400
615411504400
72631320142
oct701716620
9265827640
10117939600
1160634849
12335b8100
131b58515c
1411940c92
15a54a100
hex7079d90

117939600 has 135 divisors (see below), whose sum is σ = 411556899. Its totient is φ = 31276800.

The previous prime is 117939581. The next prime is 117939611. The reversal of 117939600 is 6939711.

The square root of 117939600 is 10860.

It is a perfect power (a square), and thus also a powerful number.

117939600 is a `hidden beast` number, since 1 + 17 + 9 + 39 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 63297936 + 54641664 = 7956^2 + 7392^2 .

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

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 26 ways as a sum of consecutive naturals, for example, 651510 + ... + 651690.

Almost surely, 2117939600 is an apocalyptic number.

117939600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

117939600 is the 10860-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117939600

117939600 is an abundant number, since it is smaller than the sum of its proper divisors (293617299).

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

117939600 is a wasteful number, since it uses less digits than its factorization.

117939600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The cubic root of 117939600 is about 490.4031112889.

Multiplying 117939600 by its sum of digits (36), we get a square (4245825600 = 651602).

117939600 divided by its sum of digits (36) gives a square (3276100 = 18102).

The spelling of 117939600 in words is "one hundred seventeen million, nine hundred thirty-nine thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 181 200 225 240 300 360 362 400 450 543 600 720 724 900 905 1086 1200 1448 1629 1800 1810 2172 2715 2896 3258 3600 3620 4344 4525 5430 6516 7240 8145 8688 9050 10860 13032 13575 14480 16290 18100 21720 26064 27150 32580 32761 36200 40725 43440 54300 65160 65522 72400 81450 98283 108600 130320 131044 162900 163805 196566 217200 262088 294849 325800 327610 393132 491415 524176 589698 651600 655220 786264 819025 982830 1179396 1310440 1474245 1572528 1638050 1965660 2358792 2457075 2620880 2948490 3276100 3931320 4717584 4914150 5896980 6552200 7371225 7862640 9828300 11793960 13104400 14742450 19656600 23587920 29484900 39313200 58969800 117939600