Search a number
-
+
10533132 = 2233175737
BaseRepresentation
bin101000001011…
…100100001100
3201211010202000
4220023210030
510144030012
61013432300
7155346561
oct50134414
921733660
1010533132
115a44775
12363b690
13224a42c
141582868
15dd0ddc
hexa0b90c

10533132 has 48 divisors (see below), whose sum is σ = 28919520. Its totient is φ = 3303936.

The previous prime is 10533121. The next prime is 10533139. The reversal of 10533132 is 23133501.

10533132 is a `hidden beast` number, since 1 + 0 + 533 + 132 = 666.

It is a super-2 number, since 2×105331322 = 221893739458848, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10533139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1033 + ... + 4704.

It is an arithmetic number, because the mean of its divisors is an integer number (602490).

Almost surely, 210533132 is an apocalyptic number.

10533132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10533132 is an abundant number, since it is smaller than the sum of its proper divisors (18386388).

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

10533132 is a wasteful number, since it uses less digits than its factorization.

10533132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5767 (or 5759 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 10533132 is about 3245.4787012088. The cubic root of 10533132 is about 219.2060361614.

Adding to 10533132 its reverse (23133501), we get a palindrome (33666633).

The spelling of 10533132 in words is "ten million, five hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 5737 11474 17211 22948 34422 51633 68844 97529 103266 154899 195058 206532 292587 309798 390116 585174 619596 877761 1170348 1755522 2633283 3511044 5266566 10533132