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13520040 = 2335611847
BaseRepresentation
bin110011100100…
…110010101000
3221102220000020
4303210302220
511430120130
61201440440
7222630012
oct63446250
927386006
1013520040
1176a4896
124640120
132a54b31
141b1d1b2
1512c0e10
hexce4ca8

13520040 has 64 divisors (see below), whose sum is σ = 41247360. Its totient is φ = 3544320.

The previous prime is 13520011. The next prime is 13520047. The reversal of 13520040 is 4002531.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (13520047) 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 15 ways as a sum of consecutive naturals, for example, 6397 + ... + 8243.

It is an arithmetic number, because the mean of its divisors is an integer number (644490).

Almost surely, 213520040 is an apocalyptic number.

13520040 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 13520040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20623680).

13520040 is an abundant number, since it is smaller than the sum of its proper divisors (27727320).

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

13520040 is a wasteful number, since it uses less digits than its factorization.

13520040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 13520040 is about 3676.9607014490. The cubic root of 13520040 is about 238.2279199776.

Adding to 13520040 its reverse (4002531), we get a palindrome (17522571).

The spelling of 13520040 in words is "thirteen million, five hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 244 305 366 488 610 732 915 1220 1464 1830 1847 2440 3660 3694 5541 7320 7388 9235 11082 14776 18470 22164 27705 36940 44328 55410 73880 110820 112667 221640 225334 338001 450668 563335 676002 901336 1126670 1352004 1690005 2253340 2704008 3380010 4506680 6760020 13520040