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21006342 = 2327293569
BaseRepresentation
bin101000000100…
…0100000000110
31110112020021200
41100020200012
520334200332
62030123330
7343356660
oct120104006
943466250
1021006342
1110948415
127050546
1344764b6
142b0b530
151c9e17c
hex1408806

21006342 has 48 divisors (see below), whose sum is σ = 52284960. Its totient is φ = 5970816.

The previous prime is 21006341. The next prime is 21006379. The reversal of 21006342 is 24360012.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21006341) 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, 36634 + ... + 37202.

It is an arithmetic number, because the mean of its divisors is an integer number (1089270).

Almost surely, 221006342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21006342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26142480).

21006342 is an abundant number, since it is smaller than the sum of its proper divisors (31278618).

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

21006342 is a wasteful number, since it uses less digits than its factorization.

21006342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 874 counting only the distinct ones).

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

The square root of 21006342 is about 4583.2676116500. The cubic root of 21006342 is about 275.9201880128.

Adding to 21006342 its reverse (24360012), we get a palindrome (45366354).

The spelling of 21006342 in words is "twenty-one million, six thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 293 569 586 879 1138 1707 1758 2051 2637 3414 3983 4102 5121 5274 6153 7966 10242 11949 12306 18459 23898 35847 36918 71694 166717 333434 500151 1000302 1167019 1500453 2334038 3000906 3501057 7002114 10503171 21006342