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20125420 = 2257294957
BaseRepresentation
bin100110011000…
…1011011101100
31101212110212221
41030301123230
520123003140
61555205124
7333030460
oct114613354
941773787
1020125420
11103a6587
1268a67a4
134228543
14295c4a0
151b7814a
hex13316ec

20125420 has 48 divisors (see below), whose sum is σ = 49976640. Its totient is φ = 6660864.

The previous prime is 20125411. The next prime is 20125439. The reversal of 20125420 is 2452102.

It is a junction number, because it is equal to n+sod(n) for n = 20125394 and 20125403.

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 15 ways as a sum of consecutive naturals, for example, 1582 + ... + 6538.

It is an arithmetic number, because the mean of its divisors is an integer number (1041180).

Almost surely, 220125420 is an apocalyptic number.

20125420 is a gapful number since it is divisible by the number (20) 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 20125420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24988320).

20125420 is an abundant number, since it is smaller than the sum of its proper divisors (29851220).

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

20125420 is a wasteful number, since it uses less digits than its factorization.

20125420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5002 (or 5000 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 20125420 is about 4486.1364223572. The cubic root of 20125420 is about 272.0079834739.

Adding to 20125420 its reverse (2452102), we get a palindrome (22577522).

The spelling of 20125420 in words is "twenty million, one hundred twenty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 2030 4060 4957 9914 19828 24785 34699 49570 69398 99140 138796 143753 173495 287506 346990 575012 693980 718765 1006271 1437530 2012542 2875060 4025084 5031355 10062710 20125420