Search a number
-
+
10247864 = 23111011153
BaseRepresentation
bin100111000101…
…111010111000
3201021122102112
4213011322320
510110412424
61003351452
7153051104
oct47057270
921248375
1010247864
11586a410
123522588
13217a633
14150a904
15d7660e
hex9c5eb8

10247864 has 32 divisors (see below), whose sum is σ = 21187440. Its totient is φ = 4608000.

The previous prime is 10247863. The next prime is 10247869. The reversal of 10247864 is 46874201.

It is a self number, because there is not a number n which added to its sum of digits gives 10247864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10247863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8312 + ... + 9464.

Almost surely, 210247864 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 10247864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10593720).

10247864 is an abundant number, since it is smaller than the sum of its proper divisors (10939576).

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

10247864 is a wasteful number, since it uses less digits than its factorization.

10247864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 10247864 is about 3201.2285141801. The cubic root of 10247864 is about 217.2089841142.

It can be divided in two parts, 10247 and 864, that added together give a palindrome (11111).

The spelling of 10247864 in words is "ten million, two hundred forty-seven thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 88 101 202 404 808 1111 1153 2222 2306 4444 4612 8888 9224 12683 25366 50732 101464 116453 232906 465812 931624 1280983 2561966 5123932 10247864