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18814620 = 22351129983
BaseRepresentation
bin100011111000…
…1011010011100
31022101212210210
41013301122130
514304031440
61511132420
7315631056
oct107613234
938355723
1018814620
11a690780
126374110
133b89a16
1426da8d6
1519b9a80
hex11f169c

18814620 has 96 divisors (see below), whose sum is σ = 59512320. Its totient is φ = 4399360.

The previous prime is 18814619. The next prime is 18814633. The reversal of 18814620 is 2641881.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 18649 + ... + 19631.

It is an arithmetic number, because the mean of its divisors is an integer number (619920).

Almost surely, 218814620 is an apocalyptic number.

18814620 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 18814620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29756160).

18814620 is an abundant number, since it is smaller than the sum of its proper divisors (40697700).

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

18814620 is a wasteful number, since it uses less digits than its factorization.

18814620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 18814620 is about 4337.5822758767. The cubic root of 18814620 is about 265.9694878978.

The spelling of 18814620 in words is "eighteen million, eight hundred fourteen thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 29 30 33 44 55 58 60 66 87 110 116 132 145 165 174 220 290 319 330 348 435 580 638 660 870 957 983 1276 1595 1740 1914 1966 2949 3190 3828 3932 4785 4915 5898 6380 9570 9830 10813 11796 14745 19140 19660 21626 28507 29490 32439 43252 54065 57014 58980 64878 85521 108130 114028 129756 142535 162195 171042 216260 285070 313577 324390 342084 427605 570140 627154 648780 855210 940731 1254308 1567885 1710420 1881462 3135770 3762924 4703655 6271540 9407310 18814620