Search a number
-
+
10215712 = 251321889
BaseRepresentation
bin100110111110…
…000100100000
3201020000022201
4212332010200
510103400322
61002542544
7152555263
oct46760440
921200281
1010215712
115848241
123507a54
132168b00
1414dccda
15d6bd27
hex9be120

10215712 has 36 divisors (see below), whose sum is σ = 21789810. Its totient is φ = 4712448.

The previous prime is 10215701. The next prime is 10215713. The reversal of 10215712 is 21751201.

It can be written as a sum of positive squares in 3 ways, for example, as 5035536 + 5180176 = 2244^2 + 2276^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10215712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10215713) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4464 + ... + 6352.

Almost surely, 210215712 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 10215712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10894905).

10215712 is an abundant number, since it is smaller than the sum of its proper divisors (11574098).

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

10215712 is a wasteful number, since it uses less digits than its factorization.

10215712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1925 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 19.

The square root of 10215712 is about 3196.2027470109. The cubic root of 10215712 is about 216.9815864942.

Adding to 10215712 its reverse (21751201), we get a palindrome (31966913).

The spelling of 10215712 in words is "ten million, two hundred fifteen thousand, seven hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1352 1889 2704 3778 5408 7556 15112 24557 30224 49114 60448 98228 196456 319241 392912 638482 785824 1276964 2553928 5107856 10215712