Search a number
-
+
10051456 = 27194133
BaseRepresentation
bin100110010101…
…111110000000
3200220200000011
4212111332000
510033121311
6555234304
7151302352
oct46257600
920820004
1010051456
115745898
123448994
13210c10c
1414990d2
15d38321
hex995f80

10051456 has 32 divisors (see below), whose sum is σ = 21083400. Its totient is φ = 4760064.

The previous prime is 10051453. The next prime is 10051469. The reversal of 10051456 is 65415001.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10051451) 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, 366 + ... + 4498.

Almost surely, 210051456 is an apocalyptic number.

10051456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10051456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10541700).

10051456 is an abundant number, since it is smaller than the sum of its proper divisors (11031944).

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

10051456 is an equidigital number, since it uses as much as digits as its factorization.

10051456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4166 (or 4154 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 10051456 is about 3170.4031289412. The cubic root of 10051456 is about 215.8123656314.

Adding to 10051456 its reverse (65415001), we get a palindrome (75466457).

The spelling of 10051456 in words is "ten million, fifty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 608 1216 2432 4133 8266 16532 33064 66128 78527 132256 157054 264512 314108 529024 628216 1256432 2512864 5025728 10051456