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18032420 = 2257151853
BaseRepresentation
bin100010011001…
…0011100100100
31020221010211102
41010302130210
514104014140
61442255232
7306162440
oct104623444
936833742
1018032420
11a1a702a
126057518
133974993
142575820
1518b2e15
hex1132724

18032420 has 48 divisors (see below), whose sum is σ = 43615488. Its totient is φ = 6134400.

The previous prime is 18032419. The next prime is 18032429. The reversal of 18032420 is 2423081.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 18032392 and 18032401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18032429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20714 + ... + 21566.

It is an arithmetic number, because the mean of its divisors is an integer number (908656).

Almost surely, 218032420 is an apocalyptic number.

18032420 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 18032420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21807744).

18032420 is an abundant number, since it is smaller than the sum of its proper divisors (25583068).

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

18032420 is a wasteful number, since it uses less digits than its factorization.

18032420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 18032420 is about 4246.4597019164. The cubic root of 18032420 is about 262.2313866002.

The spelling of 18032420 in words is "eighteen million, thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 151 302 604 755 853 1057 1510 1706 2114 3020 3412 4228 4265 5285 5971 8530 10570 11942 17060 21140 23884 29855 59710 119420 128803 257606 515212 644015 901621 1288030 1803242 2576060 3606484 4508105 9016210 18032420