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21509420 = 22517411543
BaseRepresentation
bin101001000001…
…1010100101100
31111110210101012
41102003110230
521001300140
62045004352
7350553452
oct122032454
944423335
1021509420
1111161389
1272536b8
1345c148a
142bdc9d2
151d4d265
hex148352c

21509420 has 48 divisors (see below), whose sum is σ = 49025088. Its totient is φ = 7895040.

The previous prime is 21509419. The next prime is 21509447. The reversal of 21509420 is 2490512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13169 + ... + 14711.

It is an arithmetic number, because the mean of its divisors is an integer number (1021356).

Almost surely, 221509420 is an apocalyptic number.

21509420 is a gapful number since it is divisible by the number (20) 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 21509420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24512544).

21509420 is an abundant number, since it is smaller than the sum of its proper divisors (27515668).

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

21509420 is a wasteful number, since it uses less digits than its factorization.

21509420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 21509420 is about 4637.8249212319. The cubic root of 21509420 is about 278.1054928034.

Adding to 21509420 its reverse (2490512), we get a palindrome (23999932).

The spelling of 21509420 in words is "twenty-one million, five hundred nine thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 164 170 205 340 410 697 820 1394 1543 2788 3086 3485 6172 6970 7715 13940 15430 26231 30860 52462 63263 104924 126526 131155 253052 262310 316315 524620 632630 1075471 1265260 2150942 4301884 5377355 10754710 21509420