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13196340 = 22325167439
BaseRepresentation
bin110010010101…
…110000110100
3220211102222100
4302111300310
511334240330
61150502100
7220111203
oct62256064
926742870
1013196340
1174a3673
124504930
1329706b1
141a7723a
15125a060
hexc95c34

13196340 has 72 divisors (see below), whose sum is σ = 40360320. Its totient is φ = 3489984.

The previous prime is 13196329. The next prime is 13196371. The reversal of 13196340 is 4369131.

13196340 is a `hidden beast` number, since 1 + 319 + 6 + 340 = 666.

It is a congruent number.

It is an unprimeable number.

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, 29841 + ... + 30279.

It is an arithmetic number, because the mean of its divisors is an integer number (560560).

Almost surely, 213196340 is an apocalyptic number.

13196340 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 13196340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20180160).

13196340 is an abundant number, since it is smaller than the sum of its proper divisors (27163980).

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

13196340 is a wasteful number, since it uses less digits than its factorization.

13196340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 13196340 is about 3632.6766990747. The cubic root of 13196340 is about 236.3113051620.

The spelling of 13196340 in words is "thirteen million, one hundred ninety-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 167 180 334 439 501 668 835 878 1002 1317 1503 1670 1756 2004 2195 2505 2634 3006 3340 3951 4390 5010 5268 6012 6585 7515 7902 8780 10020 13170 15030 15804 19755 26340 30060 39510 73313 79020 146626 219939 293252 366565 439878 659817 733130 879756 1099695 1319634 1466260 2199390 2639268 3299085 4398780 6598170 13196340