Search a number
-
+
10442196 = 22363581
BaseRepresentation
bin100111110101…
…010111010100
3201122112000000
4213311113110
510133122241
61011451300
7154520502
oct47652724
921575000
1010442196
115992416
1235b6b30
132217c1b
14155b672
15db3eb6
hex9f55d4

10442196 has 42 divisors (see below), whose sum is σ = 27405882. Its totient is φ = 3479760.

The previous prime is 10442119. The next prime is 10442197. The reversal of 10442196 is 69124401.

It can be written as a sum of positive squares in only one way, i.e., 10150596 + 291600 = 3186^2 + 540^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10442197) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1126 + ... + 4706.

It is an arithmetic number, because the mean of its divisors is an integer number (652521).

Almost surely, 210442196 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 10442196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13702941).

10442196 is an abundant number, since it is smaller than the sum of its proper divisors (16963686).

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

10442196 is an equidigital number, since it uses as much as digits as its factorization.

10442196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3603 (or 3586 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10442196 is about 3231.4386888815. The cubic root of 10442196 is about 218.5733860428.

Adding to 10442196 its reverse (69124401), we get a palindrome (79566597).

It can be divided in two parts, 1044 and 2196, that added together give a triangular number (3240 = T80).

The spelling of 10442196 in words is "ten million, four hundred forty-two thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 3581 7162 10743 14324 21486 32229 42972 64458 96687 128916 193374 290061 386748 580122 870183 1160244 1740366 2610549 3480732 5221098 10442196