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10071144 = 23321371021
BaseRepresentation
bin100110011010…
…110001101000
3200221200000100
4212122301220
510034234034
6555505400
7151413636
oct46326150
920850010
1010071144
115759666
123458260
132118075
1414a2356
15d3e099
hex99ac68

10071144 has 48 divisors (see below), whose sum is σ = 27502020. Its totient is φ = 3329280.

The previous prime is 10071143. The next prime is 10071163. The reversal of 10071144 is 44117001.

It can be written as a sum of positive squares in 2 ways, for example, as 9998244 + 72900 = 3162^2 + 270^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10071143) 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 11 ways as a sum of consecutive naturals, for example, 9354 + ... + 10374.

Almost surely, 210071144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10071144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13751010).

10071144 is an abundant number, since it is smaller than the sum of its proper divisors (17430876).

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

10071144 is a wasteful number, since it uses less digits than its factorization.

10071144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 10071144 is about 3173.5065779040. The cubic root of 10071144 is about 215.9531791521.

Adding to 10071144 its reverse (44117001), we get a palindrome (54188145).

The spelling of 10071144 in words is "ten million, seventy-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 137 274 411 548 822 1021 1096 1233 1644 2042 2466 3063 3288 4084 4932 6126 8168 9189 9864 12252 18378 24504 36756 73512 139877 279754 419631 559508 839262 1119016 1258893 1678524 2517786 3357048 5035572 10071144