Search a number
-
+
10143144 = 2334111423
BaseRepresentation
bin100110101100…
…010110101000
3201002022210000
4212230112220
510044040034
61001223000
7152133564
oct46542650
921068700
1010143144
1157a8770
123491a60
132141a7b
1414c06a4
15d55599
hex9ac5a8

10143144 has 80 divisors (see below), whose sum is σ = 31014720. Its totient is φ = 3071520.

The previous prime is 10143139. The next prime is 10143149. The reversal of 10143144 is 44134101.

It is an interprime number because it is at equal distance from previous prime (10143139) and next prime (10143149).

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 (10143149) 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 19 ways as a sum of consecutive naturals, for example, 6417 + ... + 7839.

It is an arithmetic number, because the mean of its divisors is an integer number (387684).

Almost surely, 210143144 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 10143144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15507360).

10143144 is an abundant number, since it is smaller than the sum of its proper divisors (20871576).

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

10143144 is a wasteful number, since it uses less digits than its factorization.

10143144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10143144 is about 3184.8302937519. The cubic root of 10143144 is about 216.4665839936.

Adding to 10143144 its reverse (44134101), we get a palindrome (54277245).

It can be divided in two parts, 101431 and 44, that added together give a triangular number (101475 = T450).

The spelling of 10143144 in words is "ten million, one hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 594 648 792 891 1188 1423 1782 2376 2846 3564 4269 5692 7128 8538 11384 12807 15653 17076 25614 31306 34152 38421 46959 51228 62612 76842 93918 102456 115263 125224 140877 153684 187836 230526 281754 307368 375672 422631 461052 563508 845262 922104 1127016 1267893 1690524 2535786 3381048 5071572 10143144