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21327293 = 132971301
BaseRepresentation
bin101000101011…
…0110110111101
31111010112112202
41101112312331
520424433133
62041041245
7346164461
oct121266675
944115482
1021327293
1111047569
127186225
134559600
142b924a1
151d142e8
hex1456dbd

21327293 has 12 divisors (see below), whose sum is σ = 23350068. Its totient is φ = 19468800.

The previous prime is 21327289. The next prime is 21327301. The reversal of 21327293 is 39272312.

It can be written as a sum of positive squares in 6 ways, for example, as 10745284 + 10582009 = 3278^2 + 3253^2 .

It is not a de Polignac number, because 21327293 - 22 = 21327289 is a prime.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21327203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15743 + ... + 17043.

It is an arithmetic number, because the mean of its divisors is an integer number (1945839).

Almost surely, 221327293 is an apocalyptic number.

It is an amenable number.

21327293 is a deficient number, since it is larger than the sum of its proper divisors (2022775).

21327293 is a wasteful number, since it uses less digits than its factorization.

21327293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1411 counting only the distinct ones).

The product of its digits is 4536, while the sum is 29.

The square root of 21327293 is about 4618.1482219608. The cubic root of 21327293 is about 277.3183314368.

It can be divided in two parts, 2132 and 7293, that multiplied together give a triangular number (15548676 = T5576).

The spelling of 21327293 in words is "twenty-one million, three hundred twenty-seven thousand, two hundred ninety-three".

Divisors: 1 13 97 169 1261 1301 16393 16913 126197 219869 1640561 21327293