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117094656 = 283723947
BaseRepresentation
bin1101111101010…
…11100100000000
322011100000200010
412332223210000
5214434012111
615341424520
72621200560
oct676534400
9264300603
10117094656
1160107a48
123326b140
131b34a6a3
14117a0da0
15a42eaa6
hex6fab900

117094656 has 144 divisors (see below), whose sum is σ = 372040704. Its totient is φ = 31967232.

The previous prime is 117094639. The next prime is 117094673. The reversal of 117094656 is 656490711.

It is an interprime number because it is at equal distance from previous prime (117094639) and next prime (117094673).

It is a super-2 number, since 2×1170946562 = 27422316927516672, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123175 + ... + 124121.

It is an arithmetic number, because the mean of its divisors is an integer number (2583616).

Almost surely, 2117094656 is an apocalyptic number.

117094656 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 117094656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186020352).

117094656 is an abundant number, since it is smaller than the sum of its proper divisors (254946048).

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

117094656 is an equidigital number, since it uses as much as digits as its factorization.

117094656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 117094656 is about 10821.0284169297. The cubic root of 117094656 is about 489.2291865229.

The spelling of 117094656 in words is "one hundred seventeen million, ninety-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 256 276 322 336 368 384 448 483 552 644 672 736 768 896 947 966 1104 1288 1344 1472 1792 1894 1932 2208 2576 2688 2841 2944 3788 3864 4416 5152 5376 5682 5888 6629 7576 7728 8832 10304 11364 13258 15152 15456 17664 19887 20608 21781 22728 26516 30304 30912 39774 41216 43562 45456 53032 60608 61824 65343 79548 87124 90912 106064 121216 123648 130686 152467 159096 174248 181824 212128 242432 261372 304934 318192 348496 363648 424256 457401 522744 609868 636384 696992 727296 848512 914802 1045488 1219736 1272768 1393984 1697024 1829604 2090976 2439472 2545536 2787968 3659208 4181952 4878944 5091072 5575936 7318416 8363904 9757888 14636832 16727808 19515776 29273664 39031552 58547328 117094656