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13110048 = 253272929
BaseRepresentation
bin110010000000…
…101100100000
3220200001121100
4302000230200
511324010143
61144554400
7216301500
oct62005440
926601540
1013110048
117444856
124482a00
132940333
141a53a00
15123e6d3
hexc80b20

13110048 has 108 divisors (see below), whose sum is σ = 43415190. Its totient is φ = 3741696.

The previous prime is 13110047. The next prime is 13110073. The reversal of 13110048 is 84001131.

It can be written as a sum of positive squares in only one way, i.e., 13046544 + 63504 = 3612^2 + 252^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 13110048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13110047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13648 + ... + 14576.

Almost surely, 213110048 is an apocalyptic number.

13110048 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 13110048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21707595).

13110048 is an abundant number, since it is smaller than the sum of its proper divisors (30305142).

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

13110048 is a wasteful number, since it uses less digits than its factorization.

13110048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 13110048 is about 3620.7800264584. The cubic root of 13110048 is about 235.7950916973.

Adding to 13110048 its reverse (84001131), we get a palindrome (97111179).

The spelling of 13110048 in words is "thirteen million, one hundred ten thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 929 1008 1176 1568 1764 1858 2016 2352 2787 3528 3716 4704 5574 6503 7056 7432 8361 11148 13006 14112 14864 16722 19509 22296 26012 29728 33444 39018 44592 45521 52024 58527 66888 78036 89184 91042 104048 117054 133776 136563 156072 182084 208096 234108 267552 273126 312144 364168 409689 468216 546252 624288 728336 819378 936432 1092504 1456672 1638756 1872864 2185008 3277512 4370016 6555024 13110048