Search a number
-
+
10043072 = 261312071
BaseRepresentation
bin100110010011…
…111011000000
3200220020111122
4212103323000
510032334242
6555131412
7151236044
oct46237300
920806448
1010043072
11573a566
123443b68
132108360
141496024
15d35ad2
hex993ec0

10043072 has 28 divisors (see below), whose sum is σ = 21464016. Its totient is φ = 4634880.

The previous prime is 10043071. The next prime is 10043081. The reversal of 10043072 is 27034001.

It is a happy number.

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10043072.

It is not an unprimeable number, because it can be changed into a prime (10043071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5204 + ... + 6867.

It is an arithmetic number, because the mean of its divisors is an integer number (766572).

Almost surely, 210043072 is an apocalyptic number.

It is an amenable number.

10043072 is an abundant number, since it is smaller than the sum of its proper divisors (11420944).

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

10043072 is a wasteful number, since it uses less digits than its factorization.

10043072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12096 (or 12086 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 10043072 is about 3169.0806237772. The cubic root of 10043072 is about 215.7523453326.

Adding to 10043072 its reverse (27034001), we get a palindrome (37077073).

The spelling of 10043072 in words is "ten million, forty-three thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 12071 24142 48284 96568 156923 193136 313846 386272 627692 772544 1255384 2510768 5021536 10043072