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13141320 = 2335412671
BaseRepresentation
bin110010001000…
…010101001000
3220201122111120
4302020111020
511331010240
61145355240
7216461613
oct62102510
926648446
1013141320
1174662a5
124498b20
13295163a
141a6117a
151248ad0
hexc88548

13141320 has 64 divisors (see below), whose sum is σ = 40400640. Its totient is φ = 3417600.

The previous prime is 13141309. The next prime is 13141351. The reversal of 13141320 is 2314131.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13141320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3585 + ... + 6255.

It is an arithmetic number, because the mean of its divisors is an integer number (631260).

Almost surely, 213141320 is an apocalyptic number.

13141320 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 13141320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20200320).

13141320 is an abundant number, since it is smaller than the sum of its proper divisors (27259320).

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

13141320 is a wasteful number, since it uses less digits than its factorization.

13141320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2726 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 13141320 is about 3625.0958608015. The cubic root of 13141320 is about 235.9824271125.

Adding to 13141320 its reverse (2314131), we get a palindrome (15455451).

The spelling of 13141320 in words is "thirteen million, one hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 2671 4920 5342 8013 10684 13355 16026 21368 26710 32052 40065 53420 64104 80130 106840 109511 160260 219022 320520 328533 438044 547555 657066 876088 1095110 1314132 1642665 2190220 2628264 3285330 4380440 6570660 13141320