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13145940 = 22325199367
BaseRepresentation
bin110010001001…
…011101010100
3220201212211200
4302021131110
511331132230
61145432500
7216511233
oct62113524
926655750
1013145940
117469815
12449b730
132953782
141a62b1a
15124a160
hexc89754

13145940 has 72 divisors (see below), whose sum is σ = 40185600. Its totient is φ = 3478464.

The previous prime is 13145921. The next prime is 13145941. The reversal of 13145940 is 4954131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13145941) 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 23 ways as a sum of consecutive naturals, for example, 35637 + ... + 36003.

Almost surely, 213145940 is an apocalyptic number.

13145940 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 13145940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20092800).

13145940 is an abundant number, since it is smaller than the sum of its proper divisors (27039660).

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

13145940 is a wasteful number, since it uses less digits than its factorization.

13145940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 13145940 is about 3625.7330293335. The cubic root of 13145940 is about 236.0100780911.

The spelling of 13145940 in words is "thirteen million, one hundred forty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 199 367 398 597 734 796 995 1101 1194 1468 1791 1835 1990 2202 2388 2985 3303 3582 3670 3980 4404 5505 5970 6606 7164 7340 8955 11010 11940 13212 16515 17910 22020 33030 35820 66060 73033 146066 219099 292132 365165 438198 657297 730330 876396 1095495 1314594 1460660 2190990 2629188 3286485 4381980 6572970 13145940