Search a number
-
+
117998664 = 23372195281
BaseRepresentation
bin1110000100010…
…00010001001000
322020000221201220
413002020101020
5220201424124
615413042040
72631654300
oct702102110
9266027656
10117998664
1160675163
1233626320
131b5a5cc4
1411958600
15a55c879
hex7088448

117998664 has 96 divisors (see below), whose sum is σ = 361288800. Its totient is φ = 31933440.

The previous prime is 117998653. The next prime is 117998669. The reversal of 117998664 is 466899711.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (117998669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19704 + ... + 24984.

It is an arithmetic number, because the mean of its divisors is an integer number (3763425).

Almost surely, 2117998664 is an apocalyptic number.

117998664 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 117998664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180644400).

117998664 is an abundant number, since it is smaller than the sum of its proper divisors (243290136).

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

117998664 is a wasteful number, since it uses less digits than its factorization.

117998664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5323 (or 5312 counting only the distinct ones).

The product of its digits is 653184, while the sum is 51.

The square root of 117998664 is about 10862.7189966417. The cubic root of 117998664 is about 490.4849620426.

The spelling of 117998664 in words is "one hundred seventeen million, nine hundred ninety-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 49 56 57 76 84 98 114 133 147 152 168 196 228 266 294 392 399 456 532 588 798 931 1064 1176 1596 1862 2793 3192 3724 5281 5586 7448 10562 11172 15843 21124 22344 31686 36967 42248 63372 73934 100339 110901 126744 147868 200678 221802 258769 295736 301017 401356 443604 517538 602034 702373 776307 802712 887208 1035076 1204068 1404746 1552614 2070152 2107119 2408136 2809492 3105228 4214238 4916611 5618984 6210456 8428476 9833222 14749833 16856952 19666444 29499666 39332888 58999332 117998664