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21132510 = 2357103977
BaseRepresentation
bin101000010011…
…1010011011110
31110202122100120
41100213103132
520402220020
62032535410
7344423550
oct120472336
943678316
1021132510
1110a24193
1270b1566
1344bba59
142b414d0
151cc6740
hex14274de

21132510 has 64 divisors (see below), whose sum is σ = 58586112. Its totient is φ = 4778496.

The previous prime is 21132509. The next prime is 21132557. The reversal of 21132510 is 1523112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21132510.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 21142 + ... + 22118.

It is an arithmetic number, because the mean of its divisors is an integer number (915408).

Almost surely, 221132510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21132510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29293056).

21132510 is an abundant number, since it is smaller than the sum of its proper divisors (37453602).

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

21132510 is a wasteful number, since it uses less digits than its factorization.

21132510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 21132510 is about 4597.0109854122. The cubic root of 21132510 is about 276.4714950662.

Adding to 21132510 its reverse (1523112), we get a palindrome (22655622).

The spelling of 21132510 in words is "twenty-one million, one hundred thirty-two thousand, five hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 103 105 206 210 309 515 618 721 977 1030 1442 1545 1954 2163 2931 3090 3605 4326 4885 5862 6839 7210 9770 10815 13678 14655 20517 21630 29310 34195 41034 68390 100631 102585 201262 205170 301893 503155 603786 704417 1006310 1408834 1509465 2113251 3018930 3522085 4226502 7044170 10566255 21132510