Search a number
-
+
10283920 = 245128549
BaseRepresentation
bin100111001110…
…101110010000
3201100110212221
4213032232100
510113041140
61004230424
7153261163
oct47165620
921313787
1010283920
115894509
12353b414
132190b7a
141519ada
15d8214a
hex9ceb90

10283920 has 20 divisors (see below), whose sum is σ = 23910300. Its totient is φ = 4113536.

The previous prime is 10283899. The next prime is 10283927. The reversal of 10283920 is 2938201.

10283920 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 2 ways, for example, as 1115136 + 9168784 = 1056^2 + 3028^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (10283927) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64195 + ... + 64354.

It is an arithmetic number, because the mean of its divisors is an integer number (1195515).

Almost surely, 210283920 is an apocalyptic number.

10283920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10283920 is an abundant number, since it is smaller than the sum of its proper divisors (13626380).

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

10283920 is a wasteful number, since it uses less digits than its factorization.

10283920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128562 (or 128556 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 10283920 is about 3206.8551573153. The cubic root of 10283920 is about 217.4634280342.

The spelling of 10283920 in words is "ten million, two hundred eighty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 128549 257098 514196 642745 1028392 1285490 2056784 2570980 5141960 10283920