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13143144 = 233778233
BaseRepresentation
bin110010001000…
…110001101000
3220201202000010
4302020301220
511331040034
61145411520
7216500130
oct62106150
926652003
1013143144
117467703
124499ba0
132952411
141a61ac0
1512493e9
hexc88c68

13143144 has 32 divisors (see below), whose sum is σ = 37552320. Its totient is φ = 3755136.

The previous prime is 13143089. The next prime is 13143149. The reversal of 13143144 is 44134131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13143144.

It is not an unprimeable number, because it can be changed into a prime (13143149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38949 + ... + 39284.

It is an arithmetic number, because the mean of its divisors is an integer number (1173510).

Almost surely, 213143144 is an apocalyptic number.

13143144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13143144 is an abundant number, since it is smaller than the sum of its proper divisors (24409176).

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

13143144 is a wasteful number, since it uses less digits than its factorization.

13143144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78249 (or 78245 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 13143144 is about 3625.3474316264. The cubic root of 13143144 is about 235.9933446366.

Adding to 13143144 its reverse (44134131), we get a palindrome (57277275).

The spelling of 13143144 in words is "thirteen million, one hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 78233 156466 234699 312932 469398 547631 625864 938796 1095262 1642893 1877592 2190524 3285786 4381048 6571572 13143144