Search a number
-
+
10214420 = 2251573253
BaseRepresentation
bin100110111101…
…110000010100
3201012221112212
4212331300110
510103330140
61002532552
7152551436
oct46756024
921187485
1010214420
115847277
123507158
132168348
1414dc656
15d6b765
hex9bdc14

10214420 has 24 divisors (see below), whose sum is σ = 21593544. Its totient is φ = 4058496.

The previous prime is 10214417. The next prime is 10214423. The reversal of 10214420 is 2441201.

10214420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10214417) and next prime (10214423).

It can be written as a sum of positive squares in 4 ways, for example, as 2999824 + 7214596 = 1732^2 + 2686^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10214395 and 10214404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10214423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1514 + ... + 4766.

It is an arithmetic number, because the mean of its divisors is an integer number (899731).

Almost surely, 210214420 is an apocalyptic number.

10214420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10214420 is an abundant number, since it is smaller than the sum of its proper divisors (11379124).

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

10214420 is a wasteful number, since it uses less digits than its factorization.

10214420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3419 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 10214420 is about 3196.0006257822. Note that the first 3 decimals coincide. The cubic root of 10214420 is about 216.9724387543.

Adding to 10214420 its reverse (2441201), we get a palindrome (12655621).

The spelling of 10214420 in words is "ten million, two hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 157 314 628 785 1570 3140 3253 6506 13012 16265 32530 65060 510721 1021442 2042884 2553605 5107210 10214420