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21602052 = 2234611093
BaseRepresentation
bin101001001100…
…1111100000100
31111122111110000
41102121330010
521012231202
62051001300
7351420513
oct122317404
944574400
1021602052
1111214a3a
127299230
1346246a4
142c2467a
151d6a91c
hex1499f04

21602052 has 60 divisors (see below), whose sum is σ = 57450316. Its totient is φ = 7076160.

The previous prime is 21602041. The next prime is 21602059. The reversal of 21602052 is 25020612.

It can be written as a sum of positive squares in 2 ways, for example, as 11451456 + 10150596 = 3384^2 + 3186^2 .

It is a super-2 number, since 2×216020522 = 933297301221408, which contains 22 as substring.

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

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (21602059) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 19218 + ... + 20310.

Almost surely, 221602052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21602052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28725158).

21602052 is an abundant number, since it is smaller than the sum of its proper divisors (35848264).

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

21602052 is a wasteful number, since it uses less digits than its factorization.

21602052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1159 counting only the distinct ones).

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

The square root of 21602052 is about 4647.8007702568. The cubic root of 21602052 is about 278.5041487563.

Adding to 21602052 its reverse (25020612), we get a palindrome (46622664).

The spelling of 21602052 in words is "twenty-one million, six hundred two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 244 324 366 549 732 1093 1098 1647 2186 2196 3279 3294 4372 4941 6558 6588 9837 9882 13116 19674 19764 29511 39348 59022 66673 88533 118044 133346 177066 200019 266692 354132 400038 600057 800076 1200114 1800171 2400228 3600342 5400513 7200684 10801026 21602052