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117356120 = 23572318223
BaseRepresentation
bin1101111111010…
…11011001011000
322011211022022222
412333223121120
5220020343440
615351203212
72623340060
oct677533130
9264738288
10117356120
1160276432
1233376508
131b40c6bb
141182c3a0
15a4822b5
hex6feb658

117356120 has 64 divisors (see below), whose sum is σ = 314910720. Its totient is φ = 38484864.

The previous prime is 117356081. The next prime is 117356137. The reversal of 117356120 is 21653711.

It is a self number, because there is not a number n which added to its sum of digits gives 117356120.

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 15 ways as a sum of consecutive naturals, for example, 2672 + ... + 15551.

It is an arithmetic number, because the mean of its divisors is an integer number (4920480).

Almost surely, 2117356120 is an apocalyptic number.

117356120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117356120 is an abundant number, since it is smaller than the sum of its proper divisors (197554600).

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

117356120 is a wasteful number, since it uses less digits than its factorization.

117356120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18264 (or 18260 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 117356120 is about 10833.1029719098. The cubic root of 117356120 is about 489.5930537661.

The spelling of 117356120 in words is "one hundred seventeen million, three hundred fifty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1610 3220 6440 18223 36446 72892 91115 127561 145784 182230 255122 364460 419129 510244 637805 728920 838258 1020488 1275610 1676516 2095645 2551220 2933903 3353032 4191290 5102440 5867806 8382580 11735612 14669515 16765160 23471224 29339030 58678060 117356120