Search a number
-
+
10653728 = 255772
BaseRepresentation
bin101000101001…
…000000100000
3202001021011112
4220221000200
510211404403
61020202452
7156361301
oct50510040
922037145
1010653728
116017338
123699428
1322902a7
1415b47a8
15e069d8
hexa29020

10653728 has 18 divisors (see below), whose sum is σ = 21010941. Its totient is φ = 5317632.

The previous prime is 10653719. The next prime is 10653733. The reversal of 10653728 is 82735601.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 6210064 + 4443664 = 2492^2 + 2108^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2308.

It is a super-2 number, since 2×106537282 = 227003840595968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10653694 and 10653703.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 18176 + ... + 18752.

Almost surely, 210653728 is an apocalyptic number.

It is an amenable number.

10653728 is a deficient number, since it is larger than the sum of its proper divisors (10357213).

10653728 is an frugal number, since it uses more digits than its factorization.

10653728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 10653728 is about 3264.0049019571. The cubic root of 10653728 is about 220.0394419642.

Subtracting from 10653728 its sum of digits (32), we obtain a square (10653696 = 32642).

Multiplying 10653728 by its sum of digits (32), we get a square (340919296 = 184642).

10653728 divided by its sum of digits (32) gives a square (332929 = 5772).

The spelling of 10653728 in words is "ten million, six hundred fifty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 577 1154 2308 4616 9232 18464 332929 665858 1331716 2663432 5326864 10653728