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20264256 = 26351303
BaseRepresentation
bin100110101001…
…1010101000000
31102010112100000
41031103111000
520141424011
62002200000
7334146315
oct115232500
942115300
1020264256
1110490921
126953000
1342767ac
142996d0c
151ba4356
hex1353540

20264256 has 84 divisors (see below), whose sum is σ = 60281312. Its totient is φ = 6749568.

The previous prime is 20264249. The next prime is 20264263. The reversal of 20264256 is 65246202.

It is an interprime number because it is at equal distance from previous prime (20264249) and next prime (20264263).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14901 + ... + 16203.

Almost surely, 220264256 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 20264256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30140656).

20264256 is an abundant number, since it is smaller than the sum of its proper divisors (40017056).

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

20264256 is an equidigital number, since it uses as much as digits as its factorization.

20264256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 20264256 is about 4501.5837213141. The cubic root of 20264256 is about 272.6320365657.

The spelling of 20264256 in words is "twenty million, two hundred sixty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1303 1728 1944 2592 2606 3888 3909 5184 5212 7776 7818 10424 11727 15552 15636 20848 23454 31272 35181 41696 46908 62544 70362 83392 93816 105543 125088 140724 187632 211086 250176 281448 316629 375264 422172 562896 633258 750528 844344 1125792 1266516 1688688 2251584 2533032 3377376 5066064 6754752 10132128 20264256