Search a number
-
+
21472020 = 22335172339
BaseRepresentation
bin101000111101…
…0001100010100
31111101220002000
41101322030110
520444101040
62044115300
7350336433
oct121721424
944356060
1021472020
1111136279
127235b30
1345aa44b
142bcd11a
151d42130
hex147a314

21472020 has 96 divisors (see below), whose sum is σ = 70761600. Its totient is φ = 5386752.

The previous prime is 21471991. The next prime is 21472021. The reversal of 21472020 is 2027412.

It is a super-2 number, since 2×214720202 = 922095285760800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21471984 and 21472002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21472021) 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 31 ways as a sum of consecutive naturals, for example, 8011 + ... + 10349.

It is an arithmetic number, because the mean of its divisors is an integer number (737100).

Almost surely, 221472020 is an apocalyptic number.

21472020 is a gapful number since it is divisible by the number (20) 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 21472020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35380800).

21472020 is an abundant number, since it is smaller than the sum of its proper divisors (49289580).

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

21472020 is a wasteful number, since it uses less digits than its factorization.

21472020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 21472020 is about 4633.7911044845. The cubic root of 21472020 is about 277.9442118442.

Adding to 21472020 its reverse (2027412), we get a palindrome (23499432).

The spelling of 21472020 in words is "twenty-one million, four hundred seventy-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2295 2339 3060 4590 4678 7017 9180 9356 11695 14034 21051 23390 28068 35085 39763 42102 46780 63153 70170 79526 84204 105255 119289 126306 140340 159052 198815 210510 238578 252612 315765 357867 397630 421020 477156 596445 631530 715734 795260 1073601 1192890 1263060 1431468 1789335 2147202 2385780 3578670 4294404 5368005 7157340 10736010 21472020