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21144020 = 2253728573
BaseRepresentation
bin101000010101…
…0000111010100
31110210020010212
41100222013110
520403102040
62033104552
7344502242
oct120520724
943706125
1021144020
1110a318a7
1270b8158
1344c4071
142b45792
151cc9d65
hex142a1d4

21144020 has 24 divisors (see below), whose sum is σ = 45604104. Its totient is φ = 8228736.

The previous prime is 21143999. The next prime is 21144029. The reversal of 21144020 is 2044112.

It can be written as a sum of positive squares in 4 ways, for example, as 659344 + 20484676 = 812^2 + 4526^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21143986 and 21144004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21144029) 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, 13547 + ... + 15026.

It is an arithmetic number, because the mean of its divisors is an integer number (1900171).

Almost surely, 221144020 is an apocalyptic number.

21144020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21144020 is an abundant number, since it is smaller than the sum of its proper divisors (24460084).

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

21144020 is a wasteful number, since it uses less digits than its factorization.

21144020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28619 (or 28617 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 21144020 is about 4598.2627154176. The cubic root of 21144020 is about 276.5216801341.

Adding to 21144020 its reverse (2044112), we get a palindrome (23188132).

The spelling of 21144020 in words is "twenty-one million, one hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 28573 57146 114292 142865 285730 571460 1057201 2114402 4228804 5286005 10572010 21144020