Search a number
-
+
21727104 = 273759137
BaseRepresentation
bin101001011100…
…0011110000000
31111212211222120
41102320132000
521030231404
62053404240
7352451220
oct122703600
944784876
1021727104
111129a993
127339680
134669599
142c58080
151d929d9
hex14b8780

21727104 has 128 divisors (see below), whose sum is σ = 67564800. Its totient is φ = 6057984.

The previous prime is 21727093. The next prime is 21727109. The reversal of 21727104 is 40172712.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21727109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158524 + ... + 158660.

It is an arithmetic number, because the mean of its divisors is an integer number (527850).

Almost surely, 221727104 is an apocalyptic number.

21727104 is a gapful number since it is divisible by the number (24) 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 21727104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33782400).

21727104 is an abundant number, since it is smaller than the sum of its proper divisors (45837696).

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

21727104 is a wasteful number, since it uses less digits than its factorization.

21727104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 21727104 is about 4661.2341713327. The cubic root of 21727104 is about 279.0405254528.

Adding to 21727104 its reverse (40172712), we get a palindrome (61899816).

The spelling of 21727104 in words is "twenty-one million, seven hundred twenty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 59 64 84 96 112 118 128 137 168 177 192 224 236 274 336 354 384 411 413 448 472 548 672 708 822 826 896 944 959 1096 1239 1344 1416 1644 1652 1888 1918 2192 2478 2688 2832 2877 3288 3304 3776 3836 4384 4956 5664 5754 6576 6608 7552 7672 8083 8768 9912 11328 11508 13152 13216 15344 16166 17536 19824 22656 23016 24249 26304 26432 30688 32332 39648 46032 48498 52608 52864 56581 61376 64664 79296 92064 96996 113162 122752 129328 158592 169743 184128 193992 226324 258656 339486 368256 387984 452648 517312 678972 775968 905296 1034624 1357944 1551936 1810592 2715888 3103872 3621184 5431776 7242368 10863552 21727104