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13107440 = 245592777
BaseRepresentation
bin110010000000…
…000011110000
3220122221000202
4302000003300
511323414230
61144534332
7216261053
oct62000360
926587022
1013107440
1174428a5
1244813a8
13293c0a8
141a52a9a
15123da45
hexc800f0

13107440 has 40 divisors (see below), whose sum is σ = 31002480. Its totient is φ = 5152256.

The previous prime is 13107439. The next prime is 13107461. The reversal of 13107440 is 4470131.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3332 + ... + 6108.

It is an arithmetic number, because the mean of its divisors is an integer number (775062).

Almost surely, 213107440 is an apocalyptic number.

13107440 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 13107440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15501240).

13107440 is an abundant number, since it is smaller than the sum of its proper divisors (17895040).

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

13107440 is a wasteful number, since it uses less digits than its factorization.

13107440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 13107440 is about 3620.4198651538. The cubic root of 13107440 is about 235.7794549790.

Adding to 13107440 its reverse (4470131), we get a palindrome (17577571).

The spelling of 13107440 in words is "thirteen million, one hundred seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 944 1180 2360 2777 4720 5554 11108 13885 22216 27770 44432 55540 111080 163843 222160 327686 655372 819215 1310744 1638430 2621488 3276860 6553720 13107440