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20653424 = 2411239491
BaseRepresentation
bin100111011001…
…0010101110000
31102212022011122
41032302111300
520241402144
62014401412
7340360031
oct116622560
942768148
1020653424
1110727250
126b00268
13438197c
142a58a88
151c2e7ee
hex13b2570

20653424 has 40 divisors (see below), whose sum is σ = 43925760. Its totient is φ = 9329600.

The previous prime is 20653421. The next prime is 20653427. The reversal of 20653424 is 42435602.

It is an interprime number because it is at equal distance from previous prime (20653421) and next prime (20653427).

It is a junction number, because it is equal to n+sod(n) for n = 20653393 and 20653402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20653421) 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, 41819 + ... + 42309.

It is an arithmetic number, because the mean of its divisors is an integer number (1098144).

Almost surely, 220653424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20653424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21962880).

20653424 is an abundant number, since it is smaller than the sum of its proper divisors (23272336).

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

20653424 is a wasteful number, since it uses less digits than its factorization.

20653424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 20653424 is about 4544.6038331190. The cubic root of 20653424 is about 274.3662497058.

The spelling of 20653424 in words is "twenty million, six hundred fifty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 239 478 491 956 982 1912 1964 2629 3824 3928 5258 5401 7856 10516 10802 21032 21604 42064 43208 86416 117349 234698 469396 938792 1290839 1877584 2581678 5163356 10326712 20653424