Search a number
-
+
21146368 = 281743113
BaseRepresentation
bin101000010101…
…0101100000000
31110210100100211
41100222230000
520403140433
62033123504
7344512135
oct120525400
943710324
1021146368
1110a33641
1270b9594
1344c5159
142b4658c
151cca8cd
hex142ab00

21146368 has 72 divisors (see below), whose sum is σ = 46137168. Its totient is φ = 9633792.

The previous prime is 21146357. The next prime is 21146369. The reversal of 21146368 is 86364112.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21146369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187080 + ... + 187192.

It is an arithmetic number, because the mean of its divisors is an integer number (640794).

Almost surely, 221146368 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 21146368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23068584).

21146368 is an abundant number, since it is smaller than the sum of its proper divisors (24990800).

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

21146368 is a wasteful number, since it uses less digits than its factorization.

21146368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 175 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 21146368 is about 4598.5180221458. The cubic root of 21146368 is about 276.5319154768.

The spelling of 21146368 in words is "twenty-one million, one hundred forty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 43 64 68 86 113 128 136 172 226 256 272 344 452 544 688 731 904 1088 1376 1462 1808 1921 2176 2752 2924 3616 3842 4352 4859 5504 5848 7232 7684 9718 11008 11696 14464 15368 19436 23392 28928 30736 38872 46784 61472 77744 82603 93568 122944 155488 165206 187136 245888 310976 330412 491776 621952 660824 1243904 1321648 2643296 5286592 10573184 21146368