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117414630 = 2335617129
BaseRepresentation
bin1101111111110…
…01101011100110
322011221021121000
412333321223212
5220024232010
615352334130
72624002464
oct677715346
9264837530
10117414630
1160306393
12333a4346
131b430218
1411845834
15a4947c0
hex6ff9ae6

117414630 has 64 divisors (see below), whose sum is σ = 318283200. Its totient is φ = 30792960.

The previous prime is 117414613. The next prime is 117414641. The reversal of 117414630 is 36414711.

It is a happy number.

117414630 is a `hidden beast` number, since 1 + 17 + 4 + 14 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 117414594 and 117414603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12906 + ... + 20034.

It is an arithmetic number, because the mean of its divisors is an integer number (4973175).

Almost surely, 2117414630 is an apocalyptic number.

117414630 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 117414630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159141600).

117414630 is an abundant number, since it is smaller than the sum of its proper divisors (200868570).

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

117414630 is a wasteful number, since it uses less digits than its factorization.

117414630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7206 (or 7200 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 117414630 is about 10835.8031543582. The cubic root of 117414630 is about 489.6744053826.

The spelling of 117414630 in words is "one hundred seventeen million, four hundred fourteen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 61 90 122 135 183 270 305 366 549 610 915 1098 1647 1830 2745 3294 5490 7129 8235 14258 16470 21387 35645 42774 64161 71290 106935 128322 192483 213870 320805 384966 434869 641610 869738 962415 1304607 1924830 2174345 2609214 3913821 4348690 6523035 7827642 11741463 13046070 19569105 23482926 39138210 58707315 117414630