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13093444 = 2271322767
BaseRepresentation
bin110001111100…
…101001000100
3220122012211101
4301330221010
511322442234
61144345444
7216202210
oct61745104
926565741
1013093444
117433331
124475284
132935900
141a4b940
151239814
hexc7ca44

13093444 has 36 divisors (see below), whose sum is σ = 28366464. Its totient is φ = 5177952.

The previous prime is 13093441. The next prime is 13093447. The reversal of 13093444 is 44439031.

It is an interprime number because it is at equal distance from previous prime (13093441) and next prime (13093447).

It is a super-2 number, since 2×130934442 = 342876551562272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (13093441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3349 + ... + 6115.

Almost surely, 213093444 is an apocalyptic number.

13093444 is a gapful number since it is divisible by the number (14) 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 13093444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14183232).

13093444 is an abundant number, since it is smaller than the sum of its proper divisors (15273020).

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

13093444 is a wasteful number, since it uses less digits than its factorization.

13093444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2804 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 13093444 is about 3618.4864239071. The cubic root of 13093444 is about 235.6955040700.

It can be divided in two parts, 1309 and 3444, that added together give a triangular number (4753 = T97).

The spelling of 13093444 in words is "thirteen million, ninety-three thousand, four hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 169 182 338 364 676 1183 2366 2767 4732 5534 11068 19369 35971 38738 71942 77476 143884 251797 467623 503594 935246 1007188 1870492 3273361 6546722 13093444