Search a number
-
+
10494032 = 241741941
BaseRepresentation
bin101000000010…
…000001010000
3201202011002212
4220002001100
510141302112
61012531252
7155124563
oct50020120
921664085
1010494032
115a1835a
123620b28
1322356b3
1415724da
15dc4522
hexa02050

10494032 has 40 divisors (see below), whose sum is σ = 22076712. Its totient is φ = 4812800.

The previous prime is 10494031. The next prime is 10494041. The reversal of 10494032 is 23049401.

It can be written as a sum of positive squares in 4 ways, for example, as 1032256 + 9461776 = 1016^2 + 3076^2 .

It is a super-2 number, since 2×104940322 = 220249415234048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10493989 and 10494007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10494031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10682 + ... + 11622.

Almost surely, 210494032 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 10494032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11038356).

10494032 is an abundant number, since it is smaller than the sum of its proper divisors (11582680).

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

10494032 is a wasteful number, since it uses less digits than its factorization.

10494032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 10494032 is about 3239.4493359212. The cubic root of 10494032 is about 218.9344618774.

The spelling of 10494032 in words is "ten million, four hundred ninety-four thousand, thirty-two".

Divisors: 1 2 4 8 16 17 34 41 68 82 136 164 272 328 656 697 941 1394 1882 2788 3764 5576 7528 11152 15056 15997 31994 38581 63988 77162 127976 154324 255952 308648 617296 655877 1311754 2623508 5247016 10494032