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10031144 = 233733889
BaseRepresentation
bin100110010001…
…000000101000
3200212122010212
4212101000220
510031444034
6555000252
7151156214
oct46210050
920778125
1010031144
115731602
123439088
132102ab6
141491944
15d322ce
hex991028

10031144 has 16 divisors (see below), whose sum is σ = 19317300. Its totient is φ = 4879872.

The previous prime is 10031141. The next prime is 10031159. The reversal of 10031144 is 44113001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7628644 + 2402500 = 2762^2 + 1550^2 .

It is not an unprimeable number, because it can be changed into a prime (10031141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16649 + ... + 17240.

Almost surely, 210031144 is an apocalyptic number.

It is an amenable number.

10031144 is a deficient number, since it is larger than the sum of its proper divisors (9286156).

10031144 is a wasteful number, since it uses less digits than its factorization.

10031144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33932 (or 33928 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 10031144 is about 3167.1981308406. The cubic root of 10031144 is about 215.6668962628. Note that the first 3 decimals are identical.

Adding to 10031144 its reverse (44113001), we get a palindrome (54144145).

The spelling of 10031144 in words is "ten million, thirty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 37 74 148 296 33889 67778 135556 271112 1253893 2507786 5015572 10031144