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13049740 = 22511232579
BaseRepresentation
bin110001110001…
…111110001100
3220112222212201
4301301332030
511320042430
61143411244
7215630614
oct61617614
926488781
1013049740
117403510
124453b24
13291ba52
141a39a44
15122b8ca
hexc71f8c

13049740 has 48 divisors (see below), whose sum is σ = 31207680. Its totient is φ = 4537280.

The previous prime is 13049723. The next prime is 13049749. The reversal of 13049740 is 4794031.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 13049699 and 13049708.

It is not an unprimeable number, because it can be changed into a prime (13049749) 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 15 ways as a sum of consecutive naturals, for example, 3771 + ... + 6349.

It is an arithmetic number, because the mean of its divisors is an integer number (650160).

Almost surely, 213049740 is an apocalyptic number.

13049740 is a gapful number since it is divisible by the number (10) 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 13049740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15603840).

13049740 is an abundant number, since it is smaller than the sum of its proper divisors (18157940).

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

13049740 is a wasteful number, since it uses less digits than its factorization.

13049740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2622 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 13049740 is about 3612.4423870838. The cubic root of 13049740 is about 235.4329727221.

The spelling of 13049740 in words is "thirteen million, forty-nine thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2530 2579 5060 5158 10316 12895 25790 28369 51580 56738 59317 113476 118634 141845 237268 283690 296585 567380 593170 652487 1186340 1304974 2609948 3262435 6524870 13049740