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20188256 = 251183691
BaseRepresentation
bin100110100000…
…0110001100000
31101222200002012
41031000301200
520132011011
62000412052
7333411614
oct115006140
941880065
1020188256
1110439810
126917028
13424b01a
142977344
151b8ba8b
hex1340c60

20188256 has 48 divisors (see below), whose sum is σ = 43944768. Its totient is φ = 9052800.

The previous prime is 20188249. The next prime is 20188261. The reversal of 20188256 is 65288102.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28871 + ... + 29561.

It is an arithmetic number, because the mean of its divisors is an integer number (915516).

Almost surely, 220188256 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 20188256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21972384).

20188256 is an abundant number, since it is smaller than the sum of its proper divisors (23756512).

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

20188256 is a wasteful number, since it uses less digits than its factorization.

20188256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 20188256 is about 4493.1343180457. The cubic root of 20188256 is about 272.2907790001.

The spelling of 20188256 in words is "twenty million, one hundred eighty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 83 88 166 176 332 352 664 691 913 1328 1382 1826 2656 2764 3652 5528 7304 7601 11056 14608 15202 22112 29216 30404 57353 60808 114706 121616 229412 243232 458824 630883 917648 1261766 1835296 2523532 5047064 10094128 20188256