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20265856 = 271319641
BaseRepresentation
bin100110101001…
…1101110000000
31102010121112021
41031103232000
520142001411
62002211224
7334154062
oct115235600
942117467
1020265856
1110492046
126953b14
134277440
142997732
151ba4a71
hex1353b80

20265856 has 64 divisors (see below), whose sum is σ = 45838800. Its totient is φ = 8847360.

The previous prime is 20265823. The next prime is 20265859. The reversal of 20265856 is 65856202.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20265859) 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 7 ways as a sum of consecutive naturals, for example, 31296 + ... + 31936.

Almost surely, 220265856 is an apocalyptic number.

20265856 is a gapful number since it is divisible by the number (26) 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 20265856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22919400).

20265856 is an abundant number, since it is smaller than the sum of its proper divisors (25572944).

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

20265856 is a wasteful number, since it uses less digits than its factorization.

20265856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 20265856 is about 4501.7614330393. The cubic root of 20265856 is about 272.6392117576.

The spelling of 20265856 in words is "twenty million, two hundred sixty-five thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 128 152 208 247 304 416 494 608 641 832 988 1216 1282 1664 1976 2432 2564 3952 5128 7904 8333 10256 12179 15808 16666 20512 24358 31616 33332 41024 48716 66664 82048 97432 133328 158327 194864 266656 316654 389728 533312 633308 779456 1066624 1266616 1558912 2533232 5066464 10132928 20265856