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13145840 = 245732251
BaseRepresentation
bin110010001001…
…011011110000
3220201212200222
4302021123300
511331131330
61145432212
7216511031
oct62113360
926655628
1013145840
117469734
12449b668
132953706
141a62a88
15124a0e5
hexc896f0

13145840 has 40 divisors (see below), whose sum is σ = 30996528. Its totient is φ = 5184000.

The previous prime is 13145833. The next prime is 13145843. The reversal of 13145840 is 4854131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13145843) 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 7 ways as a sum of consecutive naturals, for example, 4715 + ... + 6965.

Almost surely, 213145840 is an apocalyptic number.

13145840 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 13145840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15498264).

13145840 is an abundant number, since it is smaller than the sum of its proper divisors (17850688).

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

13145840 is a wasteful number, since it uses less digits than its factorization.

13145840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 13145840 is about 3625.7192389925. The cubic root of 13145840 is about 236.0094796537.

Adding to 13145840 its reverse (4854131), we get a palindrome (17999971).

The spelling of 13145840 in words is "thirteen million, one hundred forty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2251 2920 4502 5840 9004 11255 18008 22510 36016 45020 90040 164323 180080 328646 657292 821615 1314584 1643230 2629168 3286460 6572920 13145840