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18428940 = 22325432381
BaseRepresentation
bin100011001001…
…1010000001100
31021200021202100
41012103100030
514204211230
61454555100
7312433455
oct106232014
937607670
1018428940
11a447a32
126208a90
133a832ca
14263a12c
151940660
hex119340c

18428940 has 72 divisors (see below), whose sum is σ = 57225168. Its totient is φ = 4798080.

The previous prime is 18428929. The next prime is 18428941. The reversal of 18428940 is 4982481.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18428895 and 18428904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18428941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6550 + ... + 8930.

It is an arithmetic number, because the mean of its divisors is an integer number (794794).

Almost surely, 218428940 is an apocalyptic number.

18428940 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 18428940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28612584).

18428940 is an abundant number, since it is smaller than the sum of its proper divisors (38796228).

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

18428940 is a wasteful number, since it uses less digits than its factorization.

18428940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 18428940 is about 4292.8941286736. The cubic root of 18428940 is about 264.1395611955.

The spelling of 18428940 in words is "eighteen million, four hundred twenty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2381 2580 3870 4762 7143 7740 9524 11905 14286 21429 23810 28572 35715 42858 47620 71430 85716 102383 107145 142860 204766 214290 307149 409532 428580 511915 614298 921447 1023830 1228596 1535745 1842894 2047660 3071490 3685788 4607235 6142980 9214470 18428940