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20724656 = 2423199283
BaseRepresentation
bin100111100001…
…1101110110000
31102222220212212
41033003232300
520301142111
62020111252
7341104511
oct117035660
942886785
1020724656
1110775817
126b35528
1343a8214
142a76a08
151c4598b
hex13c3bb0

20724656 has 40 divisors (see below), whose sum is σ = 42259200. Its totient is φ = 9827136.

The previous prime is 20724653. The next prime is 20724659. The reversal of 20724656 is 65642702.

It is an interprime number because it is at equal distance from previous prime (20724653) and next prime (20724659).

It is a super-2 number, since 2×207246562 = 859022732636672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20724653) 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 7 ways as a sum of consecutive naturals, for example, 73091 + ... + 73373.

It is an arithmetic number, because the mean of its divisors is an integer number (1056480).

Almost surely, 220724656 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 20724656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21129600).

20724656 is an abundant number, since it is smaller than the sum of its proper divisors (21534544).

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

20724656 is a wasteful number, since it uses less digits than its factorization.

20724656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 20724656 is about 4552.4340742069. The cubic root of 20724656 is about 274.6813101607.

The spelling of 20724656 in words is "twenty million, seven hundred twenty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 23 46 92 184 199 283 368 398 566 796 1132 1592 2264 3184 4528 4577 6509 9154 13018 18308 26036 36616 52072 56317 73232 104144 112634 225268 450536 901072 1295291 2590582 5181164 10362328 20724656