Search a number
-
+
118414384 = 241117192083
BaseRepresentation
bin1110000111011…
…01110000110000
322020211001222221
413003231300300
5220303230014
615430010424
72635335304
oct703556060
9266731887
10118414384
1160929530
12337a6a14
131b6c02aa
1411a25d04
15a5e0b24
hex70edc30

118414384 has 80 divisors (see below), whose sum is σ = 279089280. Its totient is φ = 47969280.

The previous prime is 118414369. The next prime is 118414397. The reversal of 118414384 is 483414811.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55807 + ... + 57889.

It is an arithmetic number, because the mean of its divisors is an integer number (3488616).

Almost surely, 2118414384 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 118414384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139544640).

118414384 is an abundant number, since it is smaller than the sum of its proper divisors (160674896).

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

118414384 is a wasteful number, since it uses less digits than its factorization.

118414384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2132 counting only the distinct ones).

The product of its digits is 12288, while the sum is 34.

The square root of 118414384 is about 10881.8373448605. The cubic root of 118414384 is about 491.0602945964.

The spelling of 118414384 in words is "one hundred eighteen million, four hundred fourteen thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 17 19 22 34 38 44 68 76 88 136 152 176 187 209 272 304 323 374 418 646 748 836 1292 1496 1672 2083 2584 2992 3344 3553 4166 5168 7106 8332 14212 16664 22913 28424 33328 35411 39577 45826 56848 70822 79154 91652 141644 158308 183304 283288 316616 366608 389521 435347 566576 633232 672809 779042 870694 1345618 1558084 1741388 2691236 3116168 3482776 5382472 6232336 6965552 7400899 10764944 14801798 29603596 59207192 118414384