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117803648 = 271959821
BaseRepresentation
bin1110000010110…
…00101010000000
322012200001020002
413001120222000
5220124204043
615404535132
72630212604
oct701305200
9265601202
10117803648
1160551696
12335514a8
131b538301
1411907504
15a51ebb8
hex7058a80

117803648 has 64 divisors (see below), whose sum is σ = 251532000. Its totient is φ = 54789120.

The previous prime is 117803639. The next prime is 117803657. The reversal of 117803648 is 846308711.

It is an interprime number because it is at equal distance from previous prime (117803639) and next prime (117803657).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143078 + ... + 143898.

Almost surely, 2117803648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117803648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125766000).

117803648 is an abundant number, since it is smaller than the sum of its proper divisors (133728352).

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

117803648 is an equidigital number, since it uses as much as digits as its factorization.

117803648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 117803648 is about 10853.7388949615. The cubic root of 117803648 is about 490.2146054263.

The spelling of 117803648 in words is "one hundred seventeen million, eight hundred three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 19 32 38 59 64 76 118 128 152 236 304 472 608 821 944 1121 1216 1642 1888 2242 2432 3284 3776 4484 6568 7552 8968 13136 15599 17936 26272 31198 35872 48439 52544 62396 71744 96878 105088 124792 143488 193756 249584 387512 499168 775024 920341 998336 1550048 1840682 1996672 3100096 3681364 6200192 7362728 14725456 29450912 58901824 117803648