Search a number
-
+
13727448 = 2333721297
BaseRepresentation
bin110100010111…
…011011011000
3221211102112000
4310113123120
512003234243
61210121000
7224452500
oct64273330
927742460
1013727448
1178266a9
124720160
132ac8367
141b74a00
1513125d3
hexd176d8

13727448 has 96 divisors (see below), whose sum is σ = 44391600. Its totient is φ = 3919104.

The previous prime is 13727447. The next prime is 13727459. The reversal of 13727448 is 84472731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13727447) 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 23 ways as a sum of consecutive naturals, for example, 9936 + ... + 11232.

Almost surely, 213727448 is an apocalyptic number.

13727448 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 13727448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22195800).

13727448 is an abundant number, since it is smaller than the sum of its proper divisors (30664152).

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

13727448 is a wasteful number, since it uses less digits than its factorization.

13727448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1309 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 13727448 is about 3705.0570845805. The cubic root of 13727448 is about 239.4399440890.

The spelling of 13727448 in words is "thirteen million, seven hundred twenty-seven thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 504 588 756 882 1176 1297 1323 1512 1764 2594 2646 3528 3891 5188 5292 7782 9079 10376 10584 11673 15564 18158 23346 27237 31128 35019 36316 46692 54474 63553 70038 72632 81711 93384 108948 127106 140076 163422 190659 217896 245133 254212 280152 326844 381318 490266 508424 571977 653688 762636 980532 1143954 1525272 1715931 1961064 2287908 3431862 4575816 6863724 13727448