Search a number
-
+
213405140 = 22513820789
BaseRepresentation
bin11001011100001…
…00110111010100
3112212120002211002
430232010313110
5414112431030
633102002432
75200625264
oct1456046724
9485502732
10213405140
11aa509493
125b576418
133529ba40
14204b17a4
1513b06245
hexcb84dd4

213405140 has 24 divisors (see below), whose sum is σ = 482624520. Its totient is φ = 78795648.

The previous prime is 213405121. The next prime is 213405161. The reversal of 213405140 is 41504312.

213405140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 44249104 + 169156036 = 6652^2 + 13006^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 410135 + ... + 410654.

It is an arithmetic number, because the mean of its divisors is an integer number (20109355).

Almost surely, 2213405140 is an apocalyptic number.

213405140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213405140 is an abundant number, since it is smaller than the sum of its proper divisors (269219380).

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

213405140 is a wasteful number, since it uses less digits than its factorization.

213405140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820811 (or 820809 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 213405140 is about 14608.3927931857. The cubic root of 213405140 is about 597.5876659241.

Adding to 213405140 its reverse (41504312), we get a palindrome (254909452).

The spelling of 213405140 in words is "two hundred thirteen million, four hundred five thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 820789 1641578 3283156 4103945 8207890 10670257 16415780 21340514 42681028 53351285 106702570 213405140