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20332320 = 253542359
BaseRepresentation
bin100110110001…
…1111100100000
31102020222200220
41031203330200
520201113240
62003443040
7334551621
oct115437440
942228626
1020332320
1110527a78
126986480
13429b778
1429b3a48
151bb95d0
hex1363f20

20332320 has 48 divisors (see below), whose sum is σ = 64048320. Its totient is φ = 5421824.

The previous prime is 20332313. The next prime is 20332327. The reversal of 20332320 is 2323302.

It is an interprime number because it is at equal distance from previous prime (20332313) and next prime (20332327).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20332320.

It is not an unprimeable number, because it can be changed into a prime (20332327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20700 + ... + 21659.

It is an arithmetic number, because the mean of its divisors is an integer number (1334340).

Almost surely, 220332320 is an apocalyptic number.

20332320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20332320 is an abundant number, since it is smaller than the sum of its proper divisors (43716000).

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

20332320 is a wasteful number, since it uses less digits than its factorization.

20332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42377 (or 42369 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 20332320 is about 4509.1373897898. The cubic root of 20332320 is about 272.9369361503.

Adding to 20332320 its reverse (2323302), we get a palindrome (22655622).

It can be divided in two parts, 203 and 32320, that added together give a palindrome (32523).

The spelling of 20332320 in words is "twenty million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 42359 84718 127077 169436 211795 254154 338872 423590 508308 635385 677744 847180 1016616 1270770 1355488 1694360 2033232 2541540 3388720 4066464 5083080 6777440 10166160 20332320