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21132405 = 325773919
BaseRepresentation
bin101000010011…
…1010001110101
31110202122012200
41100213101311
520402214110
62032535113
7344423340
oct120472165
943678180
1021132405
1110a240a8
1270b1499
1344bb9a8
142b41457
151cc66c0
hex1427475

21132405 has 48 divisors (see below), whose sum is σ = 42481920. Its totient is φ = 9517824.

The previous prime is 21132383. The next prime is 21132481. The reversal of 21132405 is 50423112.

It is not a de Polignac number, because 21132405 - 26 = 21132341 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22536 + ... + 23454.

It is an arithmetic number, because the mean of its divisors is an integer number (885040).

Almost surely, 221132405 is an apocalyptic number.

It is an amenable number.

21132405 is an abundant number, since it is smaller than the sum of its proper divisors (21349515).

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

21132405 is a wasteful number, since it uses less digits than its factorization.

21132405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 1007 counting only the distinct ones).

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

The square root of 21132405 is about 4596.9995649336. Note that the first 3 decimals coincide. The cubic root of 21132405 is about 276.4710371690.

Adding to 21132405 its reverse (50423112), we get a palindrome (71555517).

The spelling of 21132405 in words is "twenty-one million, one hundred thirty-two thousand, four hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 73 105 219 315 365 511 657 919 1095 1533 2555 2757 3285 4595 4599 6433 7665 8271 13785 19299 22995 32165 41355 57897 67087 96495 201261 289485 335435 469609 603783 1006305 1408827 2348045 3018915 4226481 7044135 21132405