Search a number
-
+
13133448 = 2333411483
BaseRepresentation
bin110010000110…
…011010001000
3220201020201000
4302012122020
511330232243
61145255000
7216426636
oct62063210
926636630
1013133448
117460399
124494460
13294ab93
141a5c356
1512465d3
hexc86688

13133448 has 64 divisors (see below), whose sum is σ = 37396800. Its totient is φ = 4268160.

The previous prime is 13133423. The next prime is 13133467. The reversal of 13133448 is 84433131.

13133448 is a `hidden beast` number, since 1 + 313 + 344 + 8 = 666.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8115 + ... + 9597.

It is an arithmetic number, because the mean of its divisors is an integer number (584325).

Almost surely, 213133448 is an apocalyptic number.

13133448 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 13133448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18698400).

13133448 is an abundant number, since it is smaller than the sum of its proper divisors (24263352).

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

13133448 is a wasteful number, since it uses less digits than its factorization.

13133448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1529 counting only the distinct ones).

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

The square root of 13133448 is about 3624.0099337612. The cubic root of 13133448 is about 235.9352977851.

Adding to 13133448 its reverse (84433131), we get a palindrome (97566579).

It can be divided in two parts, 1313 and 3448, that added together give a square (4761 = 692).

The spelling of 13133448 in words is "thirteen million, one hundred thirty-three thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 328 369 492 738 984 1107 1476 1483 2214 2952 2966 4428 4449 5932 8856 8898 11864 13347 17796 26694 35592 40041 53388 60803 80082 106776 121606 160164 182409 243212 320328 364818 486424 547227 729636 1094454 1459272 1641681 2188908 3283362 4377816 6566724 13133448