Search a number
-
+
21728115 = 3351943197
BaseRepresentation
bin101001011100…
…0101101110011
31111212220101000
41102320231303
521030244430
62053413043
7352454163
oct122705563
944786330
1021728115
11112a0722
12733a183
134669b96
142c585a3
151d92e60
hex14b8b73

21728115 has 64 divisors (see below), whose sum is σ = 41817600. Its totient is φ = 10668672.

The previous prime is 21728111. The next prime is 21728129. The reversal of 21728115 is 51182712.

It is not a de Polignac number, because 21728115 - 22 = 21728111 is a prime.

It is a super-3 number, since 3×217281153 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21728111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110197 + ... + 110393.

It is an arithmetic number, because the mean of its divisors is an integer number (653400).

Almost surely, 221728115 is an apocalyptic number.

21728115 is a deficient number, since it is larger than the sum of its proper divisors (20089485).

21728115 is a wasteful number, since it uses less digits than its factorization.

21728115 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 267 counting only the distinct ones).

The product of its digits is 1120, while the sum is 27.

The square root of 21728115 is about 4661.3426177444. The cubic root of 21728115 is about 279.0448534663.

The spelling of 21728115 in words is "twenty-one million, seven hundred twenty-eight thousand, one hundred fifteen".

Divisors: 1 3 5 9 15 19 27 43 45 57 95 129 135 171 197 215 285 387 513 591 645 817 855 985 1161 1773 1935 2451 2565 2955 3743 4085 5319 5805 7353 8471 8865 11229 12255 18715 22059 25413 26595 33687 36765 42355 56145 76239 101061 110295 127065 160949 168435 228717 381195 482847 505305 804745 1143585 1448541 2414235 4345623 7242705 21728115