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20255640 = 23352341179
BaseRepresentation
bin100110101000…
…1001110011000
31102010002111220
41031101032120
520141140030
62002052040
7334112226
oct115211630
942102456
1020255640
11104853a9
12694a020
1342728b2
142993b16
151ba1a10
hex1351398

20255640 has 128 divisors (see below), whose sum is σ = 65318400. Its totient is φ = 5012480.

The previous prime is 20255639. The next prime is 20255647. The reversal of 20255640 is 4655202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20255640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20255647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113071 + ... + 113249.

It is an arithmetic number, because the mean of its divisors is an integer number (510300).

Almost surely, 220255640 is an apocalyptic number.

20255640 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 20255640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32659200).

20255640 is an abundant number, since it is smaller than the sum of its proper divisors (45062760).

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

20255640 is a wasteful number, since it uses less digits than its factorization.

20255640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 20255640 is about 4500.6266230382. The cubic root of 20255640 is about 272.5933916626.

The spelling of 20255640 in words is "twenty million, two hundred fifty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 41 46 60 69 82 92 115 120 123 138 164 179 184 205 230 246 276 328 345 358 410 460 492 537 552 615 690 716 820 895 920 943 984 1074 1230 1380 1432 1640 1790 1886 2148 2460 2685 2760 2829 3580 3772 4117 4296 4715 4920 5370 5658 7160 7339 7544 8234 9430 10740 11316 12351 14145 14678 16468 18860 20585 21480 22017 22632 24702 28290 29356 32936 36695 37720 41170 44034 49404 56580 58712 61755 73390 82340 88068 98808 110085 113160 123510 146780 164680 168797 176136 220170 247020 293560 337594 440340 494040 506391 675188 843985 880680 1012782 1350376 1687970 2025564 2531955 3375940 4051128 5063910 6751880 10127820 20255640