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7138188 = 22322337233
BaseRepresentation
bin11011001110101110001100
3111102122202100
4123032232030
53311410223
6412555100
7114450021
oct33165614
914378670
107138188
114036032
122482a90
13162c0a5
14d3b548
15960043
hex6ceb8c

7138188 has 72 divisors (see below), whose sum is σ = 19420128. Its totient is φ = 2204928.

The previous prime is 7138177. The next prime is 7138193. The reversal of 7138188 is 8818317.

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

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 23 ways as a sum of consecutive naturals, for example, 30520 + ... + 30752.

It is an arithmetic number, because the mean of its divisors is an integer number (269724).

Almost surely, 27138188 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 7138188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9710064).

7138188 is an abundant number, since it is smaller than the sum of its proper divisors (12281940).

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

7138188 is a wasteful number, since it uses less digits than its factorization.

7138188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 298 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 7138188 is about 2671.7387596844. The cubic root of 7138188 is about 192.5437062732.

The spelling of 7138188 in words is "seven million, one hundred thirty-eight thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 37 46 69 74 92 111 138 148 207 222 233 276 333 414 444 466 666 699 828 851 932 1332 1398 1702 2097 2553 2796 3404 4194 5106 5359 7659 8388 8621 10212 10718 15318 16077 17242 21436 25863 30636 32154 34484 48231 51726 64308 77589 96462 103452 155178 192924 198283 310356 396566 594849 793132 1189698 1784547 2379396 3569094 7138188