[go: up one dir, main page]

Search a number
-
+
13236048 = 243471459
BaseRepresentation
bin110010011111…
…011101010000
3220220110110000
4302133131100
511342023143
61151410000
7220335030
oct62373520
926813400
1013236048
117520491
124523900
1329857a7
141a878c0
151266bd3
hexc9f750

13236048 has 100 divisors (see below), whose sum is σ = 43811680. Its totient is φ = 3779136.

The previous prime is 13236043. The next prime is 13236053. The reversal of 13236048 is 84063231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13236043) and next prime (13236053).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13236043) 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 19 ways as a sum of consecutive naturals, for example, 8343 + ... + 9801.

Almost surely, 213236048 is an apocalyptic number.

13236048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13236048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21905840).

13236048 is an abundant number, since it is smaller than the sum of its proper divisors (30575632).

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

13236048 is a wasteful number, since it uses less digits than its factorization.

13236048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 13236048 is about 3638.1379852886. The cubic root of 13236048 is about 236.5480893349.

Adding to 13236048 its reverse (84063231), we get a palindrome (97299279).

The spelling of 13236048 in words is "thirteen million, two hundred thirty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1459 1512 2268 2918 3024 4377 4536 5836 8754 9072 10213 11672 13131 17508 20426 23344 26262 30639 35016 39393 40852 52524 61278 70032 78786 81704 91917 105048 118179 122556 157572 163408 183834 210096 236358 245112 275751 315144 367668 472716 490224 551502 630288 735336 827253 945432 1103004 1470672 1654506 1890864 2206008 3309012 4412016 6618024 13236048