Search a number
-
+
10140132 = 2234911721
BaseRepresentation
bin100110101011…
…100111100100
3201002011122110
4212223213210
510043441012
61001201020
7152122032
oct46534744
921064573
1010140132
1157a6482
123490170
1321405a2
1414bd552
15d5473c
hex9ab9e4

10140132 has 24 divisors (see below), whose sum is σ = 23722272. Its totient is φ = 3371200.

The previous prime is 10140127. The next prime is 10140133. The reversal of 10140132 is 23104101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10140133) 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 7 ways as a sum of consecutive naturals, for example, 5032 + ... + 6752.

It is an arithmetic number, because the mean of its divisors is an integer number (988428).

Almost surely, 210140132 is an apocalyptic number.

10140132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10140132 is an abundant number, since it is smaller than the sum of its proper divisors (13582140).

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

10140132 is a wasteful number, since it uses less digits than its factorization.

10140132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2219 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10140132 is about 3184.3573920023. The cubic root of 10140132 is about 216.4451553354.

Adding to 10140132 its reverse (23104101), we get a palindrome (33244233).

The spelling of 10140132 in words is "ten million, one hundred forty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 491 982 1473 1721 1964 2946 3442 5163 5892 6884 10326 20652 845011 1690022 2535033 3380044 5070066 10140132