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20124632 = 23112361163
BaseRepresentation
bin100110011000…
…1001111011000
31101212102210202
41030301033120
520122442012
61555201332
7333025253
oct114611730
941772722
1020124632
11103a5a30
1268a6248
134228088
14295c09a
151b77cc2
hex13313d8

20124632 has 64 divisors (see below), whose sum is σ = 43925760. Its totient is φ = 8553600.

The previous prime is 20124631. The next prime is 20124647. The reversal of 20124632 is 23642102.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123383 + ... + 123545.

It is an arithmetic number, because the mean of its divisors is an integer number (686340).

Almost surely, 220124632 is an apocalyptic number.

20124632 is a gapful number since it is divisible by the number (22) 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 20124632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21962880).

20124632 is an abundant number, since it is smaller than the sum of its proper divisors (23801128).

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

20124632 is a wasteful number, since it uses less digits than its factorization.

20124632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 20124632 is about 4486.0485953676. The cubic root of 20124632 is about 272.0044333187.

Adding to 20124632 its reverse (23642102), we get a palindrome (43766734).

The spelling of 20124632 in words is "twenty million, one hundred twenty-four thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 22 23 44 46 61 88 92 122 163 184 244 253 326 488 506 652 671 1012 1304 1342 1403 1793 2024 2684 2806 3586 3749 5368 5612 7172 7498 9943 11224 14344 14996 15433 19886 29992 30866 39772 41239 61732 79544 82478 109373 123464 164956 218746 228689 329912 437492 457378 874984 914756 1829512 2515579 5031158 10062316 20124632