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21749364 = 22337132213
BaseRepresentation
bin101001011110…
…1111001110100
31111220222112000
41102331321310
521031434424
62054055300
7352603140
oct122757164
944828460
1021749364
111130568a
12734a530
134676760
142c62220
151d993c9
hex14bde74

21749364 has 96 divisors (see below), whose sum is σ = 69431040. Its totient is φ = 5733504.

The previous prime is 21749353. The next prime is 21749419. The reversal of 21749364 is 46394712.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8722 + ... + 10934.

It is an arithmetic number, because the mean of its divisors is an integer number (723240).

Almost surely, 221749364 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 21749364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34715520).

21749364 is an abundant number, since it is smaller than the sum of its proper divisors (47681676).

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

21749364 is a wasteful number, since it uses less digits than its factorization.

21749364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246 (or 2238 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 21749364 is about 4663.6213396887. The cubic root of 21749364 is about 279.1357877581.

The spelling of 21749364 in words is "twenty-one million, seven hundred forty-nine thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 702 756 819 1092 1404 1638 2213 2457 3276 4426 4914 6639 8852 9828 13278 15491 19917 26556 28769 30982 39834 46473 57538 59751 61964 79668 86307 92946 115076 119502 139419 172614 185892 201383 239004 258921 278838 345228 402766 418257 517842 557676 604149 776763 805532 836514 1035684 1208298 1553526 1673028 1812447 2416596 3107052 3624894 5437341 7249788 10874682 21749364