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20538624 = 28347569
BaseRepresentation
bin100111001011…
…0010100000000
31102122110200210
41032112110000
520224213444
62012114120
7336401241
oct116262400
942573623
1020538624
1110658a77
126a65940
134341642
142a28cc8
151c0a7b9
hex1396500

20538624 has 72 divisors (see below), whose sum is σ = 55923840. Its totient is φ = 6688768.

The previous prime is 20538611. The next prime is 20538631. The reversal of 20538624 is 42683502.

It is a junction number, because it is equal to n+sod(n) for n = 20538591 and 20538600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35812 + ... + 36380.

It is an arithmetic number, because the mean of its divisors is an integer number (776720).

Almost surely, 220538624 is an apocalyptic number.

20538624 is a gapful number since it is divisible by the number (24) 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 20538624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27961920).

20538624 is an abundant number, since it is smaller than the sum of its proper divisors (35385216).

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

20538624 is an equidigital number, since it uses as much as digits as its factorization.

20538624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 20538624 is about 4531.9558691585. The cubic root of 20538624 is about 273.8569591003.

The spelling of 20538624 in words is "twenty million, five hundred thirty-eight thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 256 282 376 384 564 569 752 768 1128 1138 1504 1707 2256 2276 3008 3414 4512 4552 6016 6828 9024 9104 12032 13656 18048 18208 26743 27312 36096 36416 53486 54624 72832 80229 106972 109248 145664 160458 213944 218496 320916 427888 436992 641832 855776 1283664 1711552 2567328 3423104 5134656 6846208 10269312 20538624