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10108872 = 2332140401
BaseRepresentation
bin100110100011…
…111111001000
3201000120202200
4212203333020
510041440442
61000400200
7151631634
oct46437710
921016680
1010108872
115784a44
123476060
13212c2a7
1414b1dc4
15d4a34c
hex9a3fc8

10108872 has 24 divisors (see below), whose sum is σ = 27378390. Its totient is φ = 3369600.

The previous prime is 10108843. The next prime is 10108873. The reversal of 10108872 is 27880101.

It can be written as a sum of positive squares in only one way, i.e., 10074276 + 34596 = 3174^2 + 186^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×101088722 = 204378586224768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10108873) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 70129 + ... + 70272.

Almost surely, 210108872 is an apocalyptic number.

10108872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10108872 is an abundant number, since it is smaller than the sum of its proper divisors (17269518).

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

10108872 is a wasteful number, since it uses less digits than its factorization.

10108872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140413 (or 140406 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 10108872 is about 3179.4452346282. The cubic root of 10108872 is about 216.2225073361. Note that the first 3 decimals are identical.

Adding to 10108872 its reverse (27880101), we get a palindrome (37988973).

The spelling of 10108872 in words is "ten million, one hundred eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 140401 280802 421203 561604 842406 1123208 1263609 1684812 2527218 3369624 5054436 10108872