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20285472 = 253375711
BaseRepresentation
bin100110101100…
…0100000100000
31102011121102210
41031120200200
520143113342
62002442120
7334265214
oct115304040
942147383
1020285472
11104a5859
126963340
13428334c
1429a0944
151baa79c
hex1358820

20285472 has 48 divisors (see below), whose sum is σ = 54698112. Its totient is φ = 6577920.

The previous prime is 20285467. The next prime is 20285477. The reversal of 20285472 is 27458202.

It is an interprime number because it is at equal distance from previous prime (20285467) and next prime (20285477).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (20285477) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 697 + ... + 6407.

It is an arithmetic number, because the mean of its divisors is an integer number (1139544).

Almost surely, 220285472 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 20285472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27349056).

20285472 is an abundant number, since it is smaller than the sum of its proper divisors (34412640).

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

20285472 is a wasteful number, since it uses less digits than its factorization.

20285472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5761 (or 5753 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 20285472 is about 4503.9396088314. The cubic root of 20285472 is about 272.7271489292.

The spelling of 20285472 in words is "twenty million, two hundred eighty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 5711 11422 17133 22844 34266 45688 68532 91376 137064 182752 211307 274128 422614 548256 633921 845228 1267842 1690456 2535684 3380912 5071368 6761824 10142736 20285472