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20268528 = 2437179337
BaseRepresentation
bin100110101010…
…0010111110000
31102010202012020
41031110113300
520142043103
62002231440
7334164630
oct115242760
942122166
1020268528
1110494055
126955580
134278717
1429986c0
151ba5753
hex13545f0

20268528 has 80 divisors (see below), whose sum is σ = 60353280. Its totient is φ = 5741568.

The previous prime is 20268527. The next prime is 20268557. The reversal of 20268528 is 82586202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20268527) 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, 59976 + ... + 60312.

It is an arithmetic number, because the mean of its divisors is an integer number (754416).

Almost surely, 220268528 is an apocalyptic number.

20268528 is a gapful number since it is divisible by the number (28) 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 20268528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30176640).

20268528 is an abundant number, since it is smaller than the sum of its proper divisors (40084752).

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

20268528 is a wasteful number, since it uses less digits than its factorization.

20268528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 20268528 is about 4502.0581959810. The cubic root of 20268528 is about 272.6511934862.

The spelling of 20268528 in words is "twenty million, two hundred sixty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 179 336 337 358 537 674 716 1011 1074 1253 1348 1432 2022 2148 2359 2506 2696 2864 3759 4044 4296 4718 5012 5392 7077 7518 8088 8592 9436 10024 14154 15036 16176 18872 20048 28308 30072 37744 56616 60144 60323 113232 120646 180969 241292 361938 422261 482584 723876 844522 965168 1266783 1447752 1689044 2533566 2895504 3378088 5067132 6756176 10134264 20268528