Search a number
-
+
10651648 = 2117743
BaseRepresentation
bin101000101000…
…100000000000
3202001011022111
4220220200000
510211323043
61020145104
7156352240
oct50504000
922034274
1010651648
116015817
123698194
13228c367
1415b3b20
15e0609d
hexa28800

10651648 has 48 divisors (see below), whose sum is σ = 24373440. Its totient is φ = 4558848.

The previous prime is 10651643. The next prime is 10651651. The reversal of 10651648 is 84615601.

It is a super-2 number, since 2×106516482 = 226915210231808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10651643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13965 + ... + 14707.

It is an arithmetic number, because the mean of its divisors is an integer number (507780).

Almost surely, 210651648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10651648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12186720).

10651648 is an abundant number, since it is smaller than the sum of its proper divisors (13721792).

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

10651648 is an frugal number, since it uses more digits than its factorization.

10651648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 10651648 is about 3263.6862594312. The cubic root of 10651648 is about 220.0251210983.

The spelling of 10651648 in words is "ten million, six hundred fifty-one thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 743 896 1024 1486 1792 2048 2972 3584 5201 5944 7168 10402 11888 14336 20804 23776 41608 47552 83216 95104 166432 190208 332864 380416 665728 760832 1331456 1521664 2662912 5325824 10651648