Search a number
-
+
21853140 = 2235312379
BaseRepresentation
bin101001101011…
…1001111010100
31112010020212120
41103113033110
521043300030
62100215540
7353514531
oct123271724
945106776
1021853140
1111376651
12739a5b0
1346b1a6a
142c8bd88
151dba010
hex14d73d4

21853140 has 72 divisors (see below), whose sum is σ = 63393120. Its totient is φ = 5624640.

The previous prime is 21853129. The next prime is 21853141. The reversal of 21853140 is 4135812.

It is a self number, because there is not a number n which added to its sum of digits gives 21853140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21853141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57471 + ... + 57849.

It is an arithmetic number, because the mean of its divisors is an integer number (880460).

Almost surely, 221853140 is an apocalyptic number.

21853140 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 21853140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31696560).

21853140 is an abundant number, since it is smaller than the sum of its proper divisors (41539980).

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

21853140 is a wasteful number, since it uses less digits than its factorization.

21853140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 21853140 is about 4674.7342170438. The cubic root of 21853140 is about 279.5790443176.

Adding to 21853140 its reverse (4135812), we get a palindrome (25988952).

The spelling of 21853140 in words is "twenty-one million, eight hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 379 465 620 758 930 961 1137 1516 1860 1895 1922 2274 2883 3790 3844 4548 4805 5685 5766 7580 9610 11370 11532 11749 14415 19220 22740 23498 28830 35247 46996 57660 58745 70494 117490 140988 176235 234980 352470 364219 704940 728438 1092657 1456876 1821095 2185314 3642190 4370628 5463285 7284380 10926570 21853140