Search a number
-
+
21447400 = 23521373113
BaseRepresentation
bin101000111010…
…0001011101000
31111100122022011
41101310023220
520442304100
62043405304
7350204602
oct121641350
944318264
1021447400
1111119827
127223834
13459c190
142bc4172
151d39bba
hex14742e8

21447400 has 96 divisors (see below), whose sum is σ = 54918360. Its totient is φ = 7741440.

The previous prime is 21447397. The next prime is 21447407. The reversal of 21447400 is 474412.

It can be written as a sum of positive squares in 12 ways, for example, as 1179396 + 20268004 = 1086^2 + 4502^2 .

It is not an unprimeable number, because it can be changed into a prime (21447407) 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 23 ways as a sum of consecutive naturals, for example, 189744 + ... + 189856.

Almost surely, 221447400 is an apocalyptic number.

21447400 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 21447400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27459180).

21447400 is an abundant number, since it is smaller than the sum of its proper divisors (33470960).

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

21447400 is a wasteful number, since it uses less digits than its factorization.

21447400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 21447400 is about 4631.1337704713. The cubic root of 21447400 is about 277.8379401540.

The spelling of 21447400 in words is "twenty-one million, four hundred forty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 73 100 104 113 130 146 200 226 260 292 325 365 452 520 565 584 650 730 904 949 1130 1300 1460 1469 1825 1898 2260 2600 2825 2920 2938 3650 3796 4520 4745 5650 5876 7300 7345 7592 8249 9490 11300 11752 14600 14690 16498 18980 22600 23725 29380 32996 36725 37960 41245 47450 58760 65992 73450 82490 94900 107237 146900 164980 189800 206225 214474 293800 329960 412450 428948 536185 824900 857896 1072370 1649800 2144740 2680925 4289480 5361850 10723700 21447400