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20124630 = 2325534219
BaseRepresentation
bin100110011000…
…1001111010110
31101212102210200
41030301033112
520122442010
61555201330
7333025251
oct114611726
941772720
1020124630
11103a5a29
1268a6246
134228086
14295c098
151b77cc0
hex13313d6

20124630 has 48 divisors (see below), whose sum is σ = 53323920. Its totient is φ = 5264064.

The previous prime is 20124623. The next prime is 20124631. The reversal of 20124630 is 3642102.

It is a happy number.

20124630 is a `hidden beast` number, since 20 + 12 + 4 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20124631) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2661 + ... + 6879.

It is an arithmetic number, because the mean of its divisors is an integer number (1110915).

Almost surely, 220124630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20124630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26661960).

20124630 is an abundant number, since it is smaller than the sum of its proper divisors (33199290).

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

20124630 is a wasteful number, since it uses less digits than its factorization.

20124630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4285 (or 4282 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 20124630 is about 4486.0483724543. The cubic root of 20124630 is about 272.0044243081.

Adding to 20124630 its reverse (3642102), we get a palindrome (23766732).

The spelling of 20124630 in words is "twenty million, one hundred twenty-four thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 795 954 1590 2385 4219 4770 8438 12657 21095 25314 37971 42190 63285 75942 126570 189855 223607 379710 447214 670821 1118035 1341642 2012463 2236070 3354105 4024926 6708210 10062315 20124630