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117842120 = 235112231201
BaseRepresentation
bin1110000011000…
…10000011001000
322012201222222222
413001202003020
5220131421440
615405433212
72630433014
oct701420310
9265658888
10117842120
1160578590
123356b808
131b54c986
1411917544
15a52b2b5
hex70620c8

117842120 has 64 divisors (see below), whose sum is σ = 290787840. Its totient is φ = 42624000.

The previous prime is 117842117. The next prime is 117842149. The reversal of 117842120 is 21248711.

It is a self number, because there is not a number n which added to its sum of digits gives 117842120.

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, 97520 + ... + 98720.

It is an arithmetic number, because the mean of its divisors is an integer number (4543560).

Almost surely, 2117842120 is an apocalyptic number.

117842120 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 117842120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145393920).

117842120 is an abundant number, since it is smaller than the sum of its proper divisors (172945720).

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

117842120 is a wasteful number, since it uses less digits than its factorization.

117842120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 117842120 is about 10855.5110427838. The cubic root of 117842120 is about 490.2679639426.

The spelling of 117842120 in words is "one hundred seventeen million, eight hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 223 440 446 892 1115 1201 1784 2230 2402 2453 4460 4804 4906 6005 8920 9608 9812 12010 12265 13211 19624 24020 24530 26422 48040 49060 52844 66055 98120 105688 132110 264220 267823 528440 535646 1071292 1339115 2142584 2678230 2946053 5356460 5892106 10712920 11784212 14730265 23568424 29460530 58921060 117842120