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18831420 = 2233543811
BaseRepresentation
bin100011111010…
…1100000111100
31022102201212000
41013311200330
514310101140
61511342300
7316031046
oct107654074
938381760
1018831420
11a6a2363
126381990
133b9456a
142702a96
1519bea30
hex11f583c

18831420 has 96 divisors (see below), whose sum is σ = 60023040. Its totient is φ = 4898880.

The previous prime is 18831419. The next prime is 18831431. The reversal of 18831420 is 2413881.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 22815 + ... + 23625.

It is an arithmetic number, because the mean of its divisors is an integer number (625240).

Almost surely, 218831420 is an apocalyptic number.

18831420 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 18831420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30011520).

18831420 is an abundant number, since it is smaller than the sum of its proper divisors (41191620).

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

18831420 is a wasteful number, since it uses less digits than its factorization.

18831420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 18831420 is about 4339.5184064594. The cubic root of 18831420 is about 266.0486277389.

The spelling of 18831420 in words is "eighteen million, eight hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 86 90 108 129 135 172 180 215 258 270 387 430 516 540 645 774 811 860 1161 1290 1548 1622 1935 2322 2433 2580 3244 3870 4055 4644 4866 5805 7299 7740 8110 9732 11610 12165 14598 16220 21897 23220 24330 29196 34873 36495 43794 48660 69746 72990 87588 104619 109485 139492 145980 174365 209238 218970 313857 348730 418476 437940 523095 627714 697460 941571 1046190 1255428 1569285 1883142 2092380 3138570 3766284 4707855 6277140 9415710 18831420