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20267624 = 2313533677
BaseRepresentation
bin100110101010…
…0001001101000
31102010200221202
41031110021220
520142030444
62002223332
7334162166
oct115241150
942120852
1020267624
1110493403
126954b48
1342781a0
142998236
151ba534e
hex1354268

20267624 has 32 divisors (see below), whose sum is σ = 41708520. Its totient is φ = 9175296.

The previous prime is 20267617. The next prime is 20267627. The reversal of 20267624 is 42676202.

It can be written as a sum of positive squares in 4 ways, for example, as 18335524 + 1932100 = 4282^2 + 1390^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20267627) 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, 3674 + ... + 7350.

Almost surely, 220267624 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 20267624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20854260).

20267624 is an abundant number, since it is smaller than the sum of its proper divisors (21440896).

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

20267624 is a wasteful number, since it uses less digits than its factorization.

20267624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3749 (or 3745 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 20267624 is about 4501.9577963371. The cubic root of 20267624 is about 272.6471399055.

The spelling of 20267624 in words is "twenty million, two hundred sixty-seven thousand, six hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 53 104 106 212 424 689 1378 2756 3677 5512 7354 14708 29416 47801 95602 191204 194881 382408 389762 779524 1559048 2533453 5066906 10133812 20267624