Search a number
-
+
10252242 = 23271113569
BaseRepresentation
bin100111000110…
…111111010010
3201021212102200
4213012333102
510111032432
61003424030
7153066630
oct47067722
921255380
1010252242
115872730
123525016
13217c620
14150c350
15d77a7c
hex9c6fd2

10252242 has 96 divisors (see below), whose sum is σ = 29877120. Its totient is φ = 2453760.

The previous prime is 10252237. The next prime is 10252247. The reversal of 10252242 is 24225201.

10252242 is a `hidden beast` number, since 102 + 522 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (10252237) and next prime (10252247).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10252247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17734 + ... + 18302.

It is an arithmetic number, because the mean of its divisors is an integer number (311220).

Almost surely, 210252242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10252242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14938560).

10252242 is an abundant number, since it is smaller than the sum of its proper divisors (19624878).

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

10252242 is a wasteful number, since it uses less digits than its factorization.

10252242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 10252242 is about 3201.9122411459. The cubic root of 10252242 is about 217.2399110647.

Adding to 10252242 its reverse (24225201), we get a palindrome (34477443).

It can be divided in two parts, 10 and 252242, that added together give a palindrome (252252).

The spelling of 10252242 in words is "ten million, two hundred fifty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 126 143 154 182 198 231 234 273 286 429 462 546 569 693 819 858 1001 1138 1287 1386 1638 1707 2002 2574 3003 3414 3983 5121 6006 6259 7397 7966 9009 10242 11949 12518 14794 18018 18777 22191 23898 35847 37554 43813 44382 51779 56331 66573 71694 81367 87626 103558 112662 131439 133146 155337 162734 244101 262878 310674 394317 466011 488202 569569 732303 788634 932022 1139138 1464606 1708707 3417414 5126121 10252242