Search a number
-
+
10471056 = 243312227
BaseRepresentation
bin100111111100…
…011010010000
3201200222120220
4213330122100
510140033211
61012233040
7155000601
oct47743220
921628526
1010471056
115a02072
12360b780
1322280bb
141567da8
15dbc806
hex9fc690

10471056 has 60 divisors (see below), whose sum is σ = 28074096. Its totient is φ = 3362880.

The previous prime is 10471007. The next prime is 10471057. The reversal of 10471056 is 65017401.

10471056 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 Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10471057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46015 + ... + 46241.

Almost surely, 210471056 is an apocalyptic number.

10471056 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 10471056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14037048).

10471056 is an abundant number, since it is smaller than the sum of its proper divisors (17603040).

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

10471056 is a wasteful number, since it uses less digits than its factorization.

10471056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 10471056 is about 3235.9011109736. The cubic root of 10471056 is about 218.7745642075.

Adding to 10471056 its reverse (65017401), we get a palindrome (75488457).

The spelling of 10471056 in words is "ten million, four hundred seventy-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 227 248 372 454 496 681 744 908 961 1362 1488 1816 1922 2724 2883 3632 3844 5448 5766 7037 7688 10896 11532 14074 15376 21111 23064 28148 42222 46128 56296 84444 112592 168888 218147 337776 436294 654441 872588 1308882 1745176 2617764 3490352 5235528 10471056