Search a number
-
+
21464688 = 2437193331
BaseRepresentation
bin101000111100…
…0011001110000
31111101112000110
41101320121300
520443332223
62044021320
7350306160
oct121703160
944345013
1021464688
1111130813
127231840
1345a6ccb
142bca5a0
151d3ed93
hex1478670

21464688 has 80 divisors (see below), whose sum is σ = 63892736. Its totient is φ = 6082560.

The previous prime is 21464687. The next prime is 21464711. The reversal of 21464688 is 88646412.

It is a Cunningham number, because it is equal to 46332-1.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21464683) 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 15 ways as a sum of consecutive naturals, for example, 64683 + ... + 65013.

Almost surely, 221464688 is an apocalyptic number.

21464688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21464688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31946368).

21464688 is an abundant number, since it is smaller than the sum of its proper divisors (42428048).

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

21464688 is a wasteful number, since it uses less digits than its factorization.

21464688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 536 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 21464688 is about 4632.9998920786. Note that the first 3 decimals coincide. The cubic root of 21464688 is about 277.9125719245.

The spelling of 21464688 in words is "twenty-one million, four hundred sixty-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 193 331 336 386 579 662 772 993 1158 1324 1351 1544 1986 2316 2317 2648 2702 3088 3972 4053 4632 4634 5296 5404 6951 7944 8106 9264 9268 10808 13902 15888 16212 18536 21616 27804 32424 37072 55608 63883 64848 111216 127766 191649 255532 383298 447181 511064 766596 894362 1022128 1341543 1533192 1788724 2683086 3066384 3577448 5366172 7154896 10732344 21464688