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21013434 = 23213891009
BaseRepresentation
bin101000000101…
…0001110111010
31110112121000100
41100022032322
520334412214
62030220230
7343416441
oct120121672
943477010
1021013434
1110952782
127054676
1344797b0
142b0dd58
151ca1309
hex140a3ba

21013434 has 48 divisors (see below), whose sum is σ = 49631400. Its totient is φ = 6386688.

The previous prime is 21013427. The next prime is 21013451. The reversal of 21013434 is 43431012.

It can be written as a sum of positive squares in 4 ways, for example, as 9090225 + 11923209 = 3015^2 + 3453^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20322 + ... + 21330.

Almost surely, 221013434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21013434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24815700).

21013434 is an abundant number, since it is smaller than the sum of its proper divisors (28617966).

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

21013434 is a wasteful number, since it uses less digits than its factorization.

21013434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 21013434 is about 4584.0412301811. The cubic root of 21013434 is about 275.9512358712.

Adding to 21013434 its reverse (43431012), we get a palindrome (64444446).

The spelling of 21013434 in words is "twenty-one million, thirteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 89 117 178 234 267 534 801 1009 1157 1602 2018 2314 3027 3471 6054 6942 9081 10413 13117 18162 20826 26234 39351 78702 89801 118053 179602 236106 269403 538806 808209 1167413 1616418 2334826 3502239 7004478 10506717 21013434