Search a number
-
+
117802944 = 263379739
BaseRepresentation
bin1110000010110…
…00011111000000
322012200000021000
413001120133000
5220124143234
615404532000
72630210550
oct701303700
9265600230
10117802944
1160551106
1233551000
131b537bac
1411907160
15a51e899
hex70587c0

117802944 has 112 divisors (see below), whose sum is σ = 395833600. Its totient is φ = 33654528.

The previous prime is 117802913. The next prime is 117802991. The reversal of 117802944 is 449208711.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 117802899 and 117802908.

It is a congruent number.

It is an unprimeable number.

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, 7227 + ... + 16965.

Almost surely, 2117802944 is an apocalyptic number.

117802944 is a gapful number since it is divisible by the number (14) 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 117802944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197916800).

117802944 is an abundant number, since it is smaller than the sum of its proper divisors (278030656).

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

117802944 is an equidigital number, since it uses as much as digits as its factorization.

117802944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9767 (or 9751 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 117802944 is about 10853.7064636925. The cubic root of 117802944 is about 490.2136289093.

The spelling of 117802944 in words is "one hundred seventeen million, eight hundred two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 9739 12096 19478 29217 38956 58434 68173 77912 87651 116868 136346 155824 175302 204519 233736 262953 272692 311648 350604 409038 467472 525906 545384 613557 623296 701208 818076 934944 1051812 1090768 1227114 1402416 1636152 1840671 1869888 2103624 2181536 2454228 2804832 3272304 3681342 4207248 4363072 4908456 5609664 6544608 7362684 8414496 9816912 13089216 14725368 16828992 19633824 29450736 39267648 58901472 117802944