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117042576 = 243737109
BaseRepresentation
bin1101111100111…
…10110110010000
322011020101020020
412332132312100
5214430330301
615340343440
72620563000
oct676366620
9264211206
10117042576
1160081902
1233244b80
131b32ca81
141178a000
15a41e436
hex6f9ed90

117042576 has 80 divisors (see below), whose sum is σ = 352656000. Its totient is φ = 33436032.

The previous prime is 117042553. The next prime is 117042589. The reversal of 117042576 is 675240711.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12910 + ... + 20018.

It is an arithmetic number, because the mean of its divisors is an integer number (4408200).

Almost surely, 2117042576 is an apocalyptic number.

117042576 is a gapful number since it is divisible by the number (16) 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 117042576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176328000).

117042576 is an abundant number, since it is smaller than the sum of its proper divisors (235613424).

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

117042576 is an equidigital number, since it uses as much as digits as its factorization.

117042576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7141 (or 7121 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 117042576 is about 10818.6217236763. The cubic root of 117042576 is about 489.1566445435.

The spelling of 117042576 in words is "one hundred seventeen million, forty-two thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 588 686 784 1029 1176 1372 2058 2352 2744 4116 5488 7109 8232 14218 16464 21327 28436 42654 49763 56872 85308 99526 113744 149289 170616 199052 298578 341232 348341 398104 597156 696682 796208 1045023 1194312 1393364 2090046 2388624 2438387 2786728 4180092 4876774 5573456 7315161 8360184 9753548 14630322 16720368 19507096 29260644 39014192 58521288 117042576