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188768340 = 223351720563
BaseRepresentation
bin10110100000001…
…10000001010100
3111011012102111000
423100012001110
5341311041330
630421543300
74451335005
oct1320060124
9434172430
10188768340
11976114a2
1253274b30
1330153c57
141b0db1ac
151188b560
hexb406054

188768340 has 96 divisors (see below), whose sum is σ = 621855360. Its totient is φ = 47374848.

The previous prime is 188768297. The next prime is 188768381. The reversal of 188768340 is 43867881.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1102 + ... + 19461.

It is an arithmetic number, because the mean of its divisors is an integer number (6477660).

Almost surely, 2188768340 is an apocalyptic number.

188768340 is a gapful number since it is divisible by the number (10) 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 188768340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310927680).

188768340 is an abundant number, since it is smaller than the sum of its proper divisors (433087020).

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

188768340 is a wasteful number, since it uses less digits than its factorization.

188768340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20598 (or 20590 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 188768340 is about 13739.2991087610. The cubic root of 188768340 is about 573.6447882606.

The spelling of 188768340 in words is "one hundred eighty-eight million, seven hundred sixty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2295 3060 4590 9180 20563 41126 61689 82252 102815 123378 185067 205630 246756 308445 349571 370134 411260 555201 616890 699142 740268 925335 1048713 1110402 1233780 1398284 1747855 1850670 2097426 2220804 2776005 3146139 3495710 3701340 4194852 5243565 5552010 6292278 6991420 9438417 10487130 11104020 12584556 15730695 18876834 20974260 31461390 37753668 47192085 62922780 94384170 188768340