Search a number
-
+
10023880 = 2351714741
BaseRepresentation
bin100110001111…
…001111001000
3200212021011211
4212033033020
510031231010
6554502504
7151126066
oct46171710
920767154
1010023880
1157270a9
123434a34
1320cc6b9
14148d036
15d3008a
hex98f3c8

10023880 has 32 divisors (see below), whose sum is σ = 23882040. Its totient is φ = 3773440.

The previous prime is 10023877. The next prime is 10023889. The reversal of 10023880 is 8832001.

10023880 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 10023556 + 324 = 3166^2 + 18^2 .

It is not an unprimeable number, because it can be changed into a prime (10023889) 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, 6691 + ... + 8050.

Almost surely, 210023880 is an apocalyptic number.

10023880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10023880 is an abundant number, since it is smaller than the sum of its proper divisors (13858160).

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

10023880 is a wasteful number, since it uses less digits than its factorization.

10023880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14769 (or 14765 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 10023880 is about 3166.0511682536. The cubic root of 10023880 is about 215.6148256769.

Adding to 10023880 its reverse (8832001), we get a palindrome (18855881).

The spelling of 10023880 in words is "ten million, twenty-three thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 14741 29482 58964 73705 117928 147410 250597 294820 501194 589640 1002388 1252985 2004776 2505970 5011940 10023880