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117799008 = 25323311721
BaseRepresentation
bin1110000010101…
…11100001100000
322012122210212020
413001113201200
5220124032013
615404501440
72630163225
oct701274140
9265583766
10117799008
1160549158
123354a880
131b536172
141190594c
15a51d623
hex7057860

117799008 has 96 divisors (see below), whose sum is σ = 333268992. Its totient is φ = 36326400.

The previous prime is 117799007. The next prime is 117799043. The reversal of 117799008 is 800997711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117799007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67588 + ... + 69308.

It is an arithmetic number, because the mean of its divisors is an integer number (3471552).

Almost surely, 2117799008 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 117799008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166634496).

117799008 is an abundant number, since it is smaller than the sum of its proper divisors (215469984).

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

117799008 is a wasteful number, since it uses less digits than its factorization.

117799008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 42.

The square root of 117799008 is about 10853.5251416303. The cubic root of 117799008 is about 490.2081692203.

The spelling of 117799008 in words is "one hundred seventeen million, seven hundred ninety-nine thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 32 46 48 62 69 92 93 96 124 138 184 186 248 276 368 372 496 552 713 736 744 992 1104 1426 1488 1721 2139 2208 2852 2976 3442 4278 5163 5704 6884 8556 10326 11408 13768 17112 20652 22816 27536 34224 39583 41304 53351 55072 68448 79166 82608 106702 118749 158332 160053 165216 213404 237498 316664 320106 426808 474996 633328 640212 853616 949992 1227073 1266656 1280424 1707232 1899984 2454146 2560848 3681219 3799968 4908292 5121696 7362438 9816584 14724876 19633168 29449752 39266336 58899504 117799008