Search a number
-
+
10024254 = 2321724147
BaseRepresentation
bin100110001111…
…010100111110
3200212021200200
4212033110332
510031234004
6554504330
7151130142
oct46172476
920767620
1010024254
115727409
1234350a6
1320cc916
14148d222
15d30239
hex98f53e

10024254 has 72 divisors (see below), whose sum is σ = 24137568. Its totient is φ = 3002880.

The previous prime is 10024249. The next prime is 10024279. The reversal of 10024254 is 45242001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 213259 + ... + 213305.

It is an arithmetic number, because the mean of its divisors is an integer number (335244).

Almost surely, 210024254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10024254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12068784).

10024254 is an abundant number, since it is smaller than the sum of its proper divisors (14113314).

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

10024254 is a wasteful number, since it uses less digits than its factorization.

10024254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 110 counting only the distinct ones).

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

The square root of 10024254 is about 3166.1102318144. The cubic root of 10024254 is about 215.6175072381.

Adding to 10024254 its reverse (45242001), we get a palindrome (55266255).

The spelling of 10024254 in words is "ten million, twenty-four thousand, two hundred fifty-four".

Divisors: 1 2 3 6 9 17 18 34 41 47 51 82 94 102 123 141 153 246 282 289 306 369 423 578 697 738 799 846 867 1394 1598 1734 1927 2091 2397 2601 3854 4182 4794 5202 5781 6273 7191 11562 11849 12546 13583 14382 17343 23698 27166 32759 34686 35547 40749 65518 71094 81498 98277 106641 122247 196554 213282 244494 294831 556903 589662 1113806 1670709 3341418 5012127 10024254