Search a number
-
+
10230048 = 253235521
BaseRepresentation
bin100111000001…
…100100100000
3201020201222200
4213001210200
510104330143
61003133200
7152645133
oct47014440
921221880
1010230048
115857a94
123514200
1321724aa
14150421a
15d711d3
hex9c1920

10230048 has 36 divisors (see below), whose sum is σ = 29092518. Its totient is φ = 3409920.

The previous prime is 10230041. The next prime is 10230049. The reversal of 10230048 is 84003201.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7033104 + 3196944 = 2652^2 + 1788^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 10230048.

It is not an unprimeable number, because it can be changed into a prime (10230041) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17473 + ... + 18048.

Almost surely, 210230048 is an apocalyptic number.

10230048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10230048 is an abundant number, since it is smaller than the sum of its proper divisors (18862470).

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

10230048 is a wasteful number, since it uses less digits than its factorization.

10230048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35537 (or 35526 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10230048 is about 3198.4446219999. Note that the first 3 decimals coincide. The cubic root of 10230048 is about 217.0830378687.

Adding to 10230048 its reverse (84003201), we get a palindrome (94233249).

The spelling of 10230048 in words is "ten million, two hundred thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 35521 71042 106563 142084 213126 284168 319689 426252 568336 639378 852504 1136672 1278756 1705008 2557512 3410016 5115024 10230048