Search a number
-
+
117891144 = 23327233911
BaseRepresentation
bin1110000011011…
…10000001001000
322012211111020200
413001232001020
5220140004034
615410452200
72631025650
oct701560110
9265744220
10117891144
11606013a8
1233594060
131b569097
141192b360
15a53aa99
hex706e048

117891144 has 48 divisors (see below), whose sum is σ = 364902720. Its totient is φ = 33683040.

The previous prime is 117891089. The next prime is 117891149. The reversal of 117891144 is 441198711.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 117891099 and 117891108.

It is not an unprimeable number, because it can be changed into a prime (117891149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116452 + ... + 117459.

It is an arithmetic number, because the mean of its divisors is an integer number (7602140).

Almost surely, 2117891144 is an apocalyptic number.

117891144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

117891144 is an abundant number, since it is smaller than the sum of its proper divisors (247011576).

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

117891144 is a wasteful number, since it uses less digits than its factorization.

117891144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233930 (or 233923 counting only the distinct ones).

The product of its digits is 8064, while the sum is 36.

The square root of 117891144 is about 10857.7688315786. The cubic root of 117891144 is about 490.3359406686.

The spelling of 117891144 in words is "one hundred seventeen million, eight hundred ninety-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 233911 467822 701733 935644 1403466 1637377 1871288 2105199 2806932 3274754 4210398 4912131 5613864 6549508 8420796 9824262 13099016 14736393 16841592 19648524 29472786 39297048 58945572 117891144