Search a number
-
+
10254048 = 253715259
BaseRepresentation
bin100111000111…
…011011100000
3201021221220120
4213013123200
510111112143
61003440240
7153105120
oct47073340
921257816
1010254048
115874022
123526080
1321803ac
14150cc80
15d78383
hex9c76e0

10254048 has 48 divisors (see below), whose sum is σ = 30764160. Its totient is φ = 2929536.

The previous prime is 10254029. The next prime is 10254071. The reversal of 10254048 is 84045201.

10254048 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6958 + ... + 8301.

It is an arithmetic number, because the mean of its divisors is an integer number (640920).

Almost surely, 210254048 is an apocalyptic number.

It is an amenable number.

10254048 is an abundant number, since it is smaller than the sum of its proper divisors (20510112).

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

10254048 is a wasteful number, since it uses less digits than its factorization.

10254048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15279 (or 15271 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 10254048 is about 3202.1942476995. The cubic root of 10254048 is about 217.2526663965.

Adding to 10254048 its reverse (84045201), we get a palindrome (94299249).

The spelling of 10254048 in words is "ten million, two hundred fifty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 15259 30518 45777 61036 91554 106813 122072 183108 213626 244144 320439 366216 427252 488288 640878 732432 854504 1281756 1464864 1709008 2563512 3418016 5127024 10254048