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21292733 = 7112231093
BaseRepresentation
bin101000100111…
…0011010111101
31111001210010202
41101032122331
520422331413
62040213245
7345661640
oct121163275
944053122
1021292733
1111023600
12716a225
134546967
142b83a57
151d08e58
hex144e6bd

21292733 has 24 divisors (see below), whose sum is σ = 27936384. Its totient is φ = 15855840.

The previous prime is 21292729. The next prime is 21292751. The reversal of 21292733 is 33729212.

It is not a de Polignac number, because 21292733 - 22 = 21292729 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.

Its product of digits (4536) is a multiple of the sum of its prime divisors (1134).

It is a junction number, because it is equal to n+sod(n) for n = 21292696 and 21292705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21292433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18935 + ... + 20027.

It is an arithmetic number, because the mean of its divisors is an integer number (1164016).

Almost surely, 221292733 is an apocalyptic number.

21292733 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

21292733 is a deficient number, since it is larger than the sum of its proper divisors (6643651).

21292733 is a wasteful number, since it uses less digits than its factorization.

21292733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1134 counting only the distinct ones).

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

The square root of 21292733 is about 4614.4049453857. The cubic root of 21292733 is about 277.1684561402.

The spelling of 21292733 in words is "twenty-one million, two hundred ninety-two thousand, seven hundred thirty-three".

Divisors: 1 7 11 23 77 121 161 253 847 1093 1771 2783 7651 12023 19481 25139 84161 132253 175973 276529 925771 1935703 3041819 21292733