Search a number
-
+
10294592 = 267112089
BaseRepresentation
bin100111010001…
…010101000000
3201101000112012
4213101111000
510113411332
61004352052
7153334250
oct47212500
921330465
1010294592
1158a1530
123545628
132195999
14151d960
15d853b2
hex9d1540

10294592 has 56 divisors (see below), whose sum is σ = 25481280. Its totient is φ = 4008960.

The previous prime is 10294579. The next prime is 10294597. The reversal of 10294592 is 29549201.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10294597) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3884 + ... + 5972.

Almost surely, 210294592 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 10294592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12740640).

10294592 is an abundant number, since it is smaller than the sum of its proper divisors (15186688).

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

10294592 is a wasteful number, since it uses less digits than its factorization.

10294592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 10294592 is about 3208.5186613140. The cubic root of 10294592 is about 217.5386252801.

The spelling of 10294592 in words is "ten million, two hundred ninety-four thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2089 2464 4178 4928 8356 14623 16712 22979 29246 33424 45958 58492 66848 91916 116984 133696 160853 183832 233968 321706 367664 467936 643412 735328 935872 1286824 1470656 2573648 5147296 10294592