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21869028 = 2235149151
BaseRepresentation
bin101001101101…
…1000111100100
31112011001200000
41103123013210
521044302103
62100421300
7353612046
oct123330744
945131600
1021869028
1111387585
1273a7830
1346b906c
142c93a96
151dbeaa3
hex14db1e4

21869028 has 72 divisors (see below), whose sum is σ = 58094400. Its totient is φ = 7192800.

The previous prime is 21869027. The next prime is 21869033. The reversal of 21869028 is 82096812.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21868983 and 21869001.

It is not an unprimeable number, because it can be changed into a prime (21869027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144753 + ... + 144903.

Almost surely, 221869028 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 21869028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29047200).

21869028 is an abundant number, since it is smaller than the sum of its proper divisors (36225372).

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

21869028 is a wasteful number, since it uses less digits than its factorization.

21869028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 21869028 is about 4676.4332562328. The cubic root of 21869028 is about 279.6467824978.

The spelling of 21869028 in words is "twenty-one million, eight hundred sixty-nine thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 149 151 162 243 298 302 324 447 453 486 596 604 894 906 972 1341 1359 1788 1812 2682 2718 4023 4077 5364 5436 8046 8154 12069 12231 16092 16308 22499 24138 24462 36207 36693 44998 48276 48924 67497 72414 73386 89996 134994 144828 146772 202491 269988 404982 607473 809964 1214946 1822419 2429892 3644838 5467257 7289676 10934514 21869028