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18706820 = 22511233697
BaseRepresentation
bin100011101011…
…1000110000100
31022012101221012
41013113012010
514242104240
61504541352
7315001556
oct107270604
938171835
1018706820
11a617790
126321858
133b4c932
1426ad4d6
151997b65
hex11d7184

18706820 has 48 divisors (see below), whose sum is σ = 44731008. Its totient is φ = 6504960.

The previous prime is 18706819. The next prime is 18706829. The reversal of 18706820 is 2860781.

It is a super-2 number, since 2×187068202 = 699890229024800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18706829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3212 + ... + 6908.

It is an arithmetic number, because the mean of its divisors is an integer number (931896).

Almost surely, 218706820 is an apocalyptic number.

18706820 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 18706820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22365504).

18706820 is an abundant number, since it is smaller than the sum of its proper divisors (26024188).

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

18706820 is a wasteful number, since it uses less digits than its factorization.

18706820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3740 (or 3738 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 18706820 is about 4325.1381480827. The cubic root of 18706820 is about 265.4605495580.

The spelling of 18706820 in words is "eighteen million, seven hundred six thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2530 3697 5060 7394 14788 18485 36970 40667 73940 81334 85031 162668 170062 203335 340124 406670 425155 813340 850310 935341 1700620 1870682 3741364 4676705 9353410 18706820