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20287104 = 273232297
BaseRepresentation
bin100110101100…
…0111010000000
31102011200200020
41031120322000
520143141404
62002453440
7334303035
oct115307200
942150606
1020287104
11104a7002
126964280
134284006
1429a138c
151baaed9
hex1358e80

20287104 has 64 divisors (see below), whose sum is σ = 56255040. Its totient is φ = 6465536.

The previous prime is 20287073. The next prime is 20287133. The reversal of 20287104 is 40178202.

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

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

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, 7684 + ... + 9980.

It is an arithmetic number, because the mean of its divisors is an integer number (878985).

Almost surely, 220287104 is an apocalyptic number.

20287104 is a gapful number since it is divisible by the number (24) 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 20287104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28127520).

20287104 is an abundant number, since it is smaller than the sum of its proper divisors (35967936).

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

20287104 is a wasteful number, since it uses less digits than its factorization.

20287104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 20287104 is about 4504.1207799081. The cubic root of 20287104 is about 272.7344625175.

The spelling of 20287104 in words is "twenty million, two hundred eighty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2297 2944 4416 4594 6891 8832 9188 13782 18376 27564 36752 52831 55128 73504 105662 110256 147008 158493 211324 220512 294016 316986 422648 441024 633972 845296 882048 1267944 1690592 2535888 3381184 5071776 6762368 10143552 20287104