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21141312 = 263149739
BaseRepresentation
bin101000010100…
…1011101000000
31110210002102120
41100221131000
520403010222
62033044240
7344461323
oct120513500
943702376
1021141312
1110a2a865
1270b6680
1344c2a6a
142b447ba
151cc915c
hex1429740

21141312 has 56 divisors (see below), whose sum is σ = 56388000. Its totient is φ = 6990336.

The previous prime is 21141299. The next prime is 21141317. The reversal of 21141312 is 21314112.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21141291 and 21141300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21141317) 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, 28239 + ... + 28977.

Almost surely, 221141312 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 21141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28194000).

21141312 is an abundant number, since it is smaller than the sum of its proper divisors (35246688).

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

21141312 is a wasteful number, since it uses less digits than its factorization.

21141312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 893 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 21141312 is about 4597.9682469543. The cubic root of 21141312 is about 276.5098745475.

Adding to 21141312 its reverse (21314112), we get a palindrome (42455424).

The spelling of 21141312 in words is "twenty-one million, one hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 149 192 298 447 596 739 894 1192 1478 1788 2217 2384 2956 3576 4434 4768 5912 7152 8868 9536 11824 14304 17736 23648 28608 35472 47296 70944 110111 141888 220222 330333 440444 660666 880888 1321332 1761776 2642664 3523552 5285328 7047104 10570656 21141312