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21130524 = 2233172677
BaseRepresentation
bin101000010011…
…0110100011100
31110202112122000
41100212310130
520402134044
62032522300
7344415012
oct120466434
943675560
1021130524
1110a22748
1270b0390
1344bab8c
142b408b2
151cc5d69
hex1426d1c

21130524 has 72 divisors (see below), whose sum is σ = 58280880. Its totient is φ = 6619392.

The previous prime is 21130511. The next prime is 21130573. The reversal of 21130524 is 42503112.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21130497 and 21130506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30874 + ... + 31550.

Almost surely, 221130524 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 21130524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29140440).

21130524 is an abundant number, since it is smaller than the sum of its proper divisors (37150356).

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

21130524 is a wasteful number, since it uses less digits than its factorization.

21130524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 21130524 is about 4596.7949704114. The cubic root of 21130524 is about 276.4628340097.

Adding to 21130524 its reverse (42503112), we get a palindrome (63633636).

The spelling of 21130524 in words is "twenty-one million, one hundred thirty thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 289 306 459 578 612 677 867 918 1156 1354 1734 1836 2031 2601 2708 3468 4062 5202 6093 7803 8124 10404 11509 12186 15606 18279 23018 24372 31212 34527 36558 46036 69054 73116 103581 138108 195653 207162 310743 391306 414324 586959 621486 782612 1173918 1242972 1760877 2347836 3521754 5282631 7043508 10565262 21130524