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18827380 = 225111329227
BaseRepresentation
bin100011111010…
…0100001110100
31022102112022101
41013310201310
514304434010
61511311444
7316013215
oct107644164
938375271
1018827380
11a69a320
12637b584
133b92780
14270140c
1519bd73a
hex11f4874

18827380 has 96 divisors (see below), whose sum is σ = 48263040. Its totient is φ = 6074880.

The previous prime is 18827353. The next prime is 18827383. The reversal of 18827380 is 8372881.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18827383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82827 + ... + 83053.

It is an arithmetic number, because the mean of its divisors is an integer number (502740).

Almost surely, 218827380 is an apocalyptic number.

18827380 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 18827380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24131520).

18827380 is an abundant number, since it is smaller than the sum of its proper divisors (29435660).

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

18827380 is a wasteful number, since it uses less digits than its factorization.

18827380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 18827380 is about 4339.0528920491. The cubic root of 18827380 is about 266.0296007913.

The spelling of 18827380 in words is "eighteen million, eight hundred twenty-seven thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 13 20 22 26 29 44 52 55 58 65 110 116 130 143 145 220 227 260 286 290 319 377 454 572 580 638 715 754 908 1135 1276 1430 1508 1595 1885 2270 2497 2860 2951 3190 3770 4147 4540 4994 5902 6380 6583 7540 8294 9988 11804 12485 13166 14755 16588 20735 24970 26332 29510 32461 32915 41470 49940 59020 64922 65830 72413 82940 85579 129844 131660 144826 162305 171158 289652 324610 342316 362065 427895 649220 724130 855790 941369 1448260 1711580 1882738 3765476 4706845 9413690 18827380