Search a number
-
+
10280052 = 2232285557
BaseRepresentation
bin100111001101…
…110001110100
3201100021120200
4213031301310
510112430202
61004200500
7153243666
oct47156164
921307520
1010280052
115891612
123539130
13218c193
141518536
15d80e1c
hex9cdc74

10280052 has 18 divisors (see below), whose sum is σ = 25985778. Its totient is φ = 3426672.

The previous prime is 10280041. The next prime is 10280059. The reversal of 10280052 is 25008201.

It can be written as a sum of positive squares in only one way, i.e., 5588496 + 4691556 = 2364^2 + 2166^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10280059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 142743 + ... + 142814.

Almost surely, 210280052 is an apocalyptic number.

10280052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10280052 is an abundant number, since it is smaller than the sum of its proper divisors (15705726).

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

10280052 is a wasteful number, since it uses less digits than its factorization.

10280052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285567 (or 285562 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10280052 is about 3206.2520175432. The cubic root of 10280052 is about 217.4361604157.

Adding to 10280052 its reverse (25008201), we get a palindrome (35288253).

The spelling of 10280052 in words is "ten million, two hundred eighty thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 285557 571114 856671 1142228 1713342 2570013 3426684 5140026 10280052