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20264820 = 223567712
BaseRepresentation
bin100110101001…
…1011101110100
31102010120002220
41031103131310
520141433240
62002202340
7334151052
oct115233564
942116086
1020264820
1110491294
1269533b0
134276b24
1429971d2
151ba45d0
hex1353774

20264820 has 72 divisors (see below), whose sum is σ = 58410912. Its totient is φ = 5248320.

The previous prime is 20264819. The next prime is 20264851. The reversal of 20264820 is 2846202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285385 + ... + 285455.

Almost surely, 220264820 is an apocalyptic number.

20264820 is a gapful number since it is divisible by the number (20) 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 20264820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29205456).

20264820 is an abundant number, since it is smaller than the sum of its proper divisors (38146092).

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

20264820 is a wasteful number, since it uses less digits than its factorization.

20264820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 20264820 is about 4501.6463654978. The cubic root of 20264820 is about 272.6345658639.

The spelling of 20264820 in words is "twenty million, two hundred sixty-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 71 134 142 201 213 268 284 335 355 402 426 670 710 804 852 1005 1065 1340 1420 2010 2130 4020 4260 4757 5041 9514 10082 14271 15123 19028 20164 23785 25205 28542 30246 47570 50410 57084 60492 71355 75615 95140 100820 142710 151230 285420 302460 337747 675494 1013241 1350988 1688735 2026482 3377470 4052964 5066205 6754940 10132410 20264820