Search a number
-
+
10026540 = 22325531051
BaseRepresentation
bin100110001111…
…111000101100
3200212101211100
4212033320230
510031322130
6554523100
7151136616
oct46177054
920771740
1010026540
1157290a7
123436490
132100984
14148ddb6
15d30c60
hex98fe2c

10026540 has 72 divisors (see below), whose sum is σ = 31017168. Its totient is φ = 2620800.

The previous prime is 10026539. The next prime is 10026553. The reversal of 10026540 is 4562001.

It is a happy number.

10026540 is a `hidden beast` number, since 10 + 0 + 2 + 654 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9015 + ... + 10065.

It is an arithmetic number, because the mean of its divisors is an integer number (430794).

Almost surely, 210026540 is an apocalyptic number.

10026540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10026540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15508584).

10026540 is an abundant number, since it is smaller than the sum of its proper divisors (20990628).

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

10026540 is a wasteful number, since it uses less digits than its factorization.

10026540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10026540 is about 3166.4712220388. The cubic root of 10026540 is about 215.6338962933.

Adding to 10026540 its reverse (4562001), we get a palindrome (14588541).

The spelling of 10026540 in words is "ten million, twenty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1051 1060 1590 1908 2102 2385 3153 3180 4204 4770 5255 6306 9459 9540 10510 12612 15765 18918 21020 31530 37836 47295 55703 63060 94590 111406 167109 189180 222812 278515 334218 501327 557030 668436 835545 1002654 1114060 1671090 2005308 2506635 3342180 5013270 10026540