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10540153 = 1317371289
BaseRepresentation
bin101000001101…
…010001111001
3201211111101001
4220031101321
510144241103
61013525001
7155406211
oct50152171
921744331
1010540153
115a49a78
123643761
1322506a0
141585241
15dd301d
hexa0d479

10540153 has 16 divisors (see below), whose sum is σ = 12353040. Its totient is φ = 8902656.

The previous prime is 10540121. The next prime is 10540169. The reversal of 10540153 is 35104501.

It can be written as a sum of positive squares in 8 ways, for example, as 1225449 + 9314704 = 1107^2 + 3052^2 .

It is a cyclic number.

It is not a de Polignac number, because 10540153 - 25 = 10540121 is a prime.

It is a super-2 number, since 2×105401532 = 222189650526818, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10540153.

It is not an unprimeable number, because it can be changed into a prime (10540553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7533 + ... + 8821.

It is an arithmetic number, because the mean of its divisors is an integer number (772065).

Almost surely, 210540153 is an apocalyptic number.

10540153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10540153 is a deficient number, since it is larger than the sum of its proper divisors (1812887).

10540153 is a wasteful number, since it uses less digits than its factorization.

10540153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356.

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 10540153 is about 3246.5601796363. The cubic root of 10540153 is about 219.2547302488.

Adding to 10540153 its reverse (35104501), we get a palindrome (45644654).

The spelling of 10540153 in words is "ten million, five hundred forty thousand, one hundred fifty-three".

Divisors: 1 13 17 37 221 481 629 1289 8177 16757 21913 47693 284869 620009 810781 10540153