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117054630 = 2325721119127
BaseRepresentation
bin1101111101000…
…01110010100110
322011020222202200
412332201302212
5214431222010
615340515330
72620643100
oct676416246
9264228680
10117054630
116008a970
123324bb46
131b3353c4
1411790570
15a422cc0
hex6fa1ca6

117054630 has 288 divisors, whose sum is σ = 409743360. Its totient is φ = 22861440.

The previous prime is 117054607. The next prime is 117054661. The reversal of 117054630 is 36450711.

117054630 is a `hidden beast` number, since 117 + 0 + 546 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 117054594 and 117054603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 921627 + ... + 921753.

It is an arithmetic number, because the mean of its divisors is an integer number (1422720).

Almost surely, 2117054630 is an apocalyptic number.

117054630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 117054630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204871680).

117054630 is an abundant number, since it is smaller than the sum of its proper divisors (292688730).

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

117054630 is a wasteful number, since it uses less digits than its factorization.

117054630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 117054630 is about 10819.1788043271. The cubic root of 117054630 is about 489.1734364152.

The spelling of 117054630 in words is "one hundred seventeen million, fifty-four thousand, six hundred thirty".