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13671320 = 2351361431
BaseRepresentation
bin110100001001…
…101110011000
3221201120112012
4310021232120
511444440240
61205005052
7224130035
oct64115630
927646465
1013671320
117798513
1246b3788
132aa8950
141b5c38c
151300b65
hexd09b98

13671320 has 64 divisors (see below), whose sum is σ = 33747840. Its totient is φ = 4953600.

The previous prime is 13671319. The next prime is 13671347. The reversal of 13671320 is 2317631.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 31505 + ... + 31935.

It is an arithmetic number, because the mean of its divisors is an integer number (527310).

Almost surely, 213671320 is an apocalyptic number.

13671320 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 13671320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16873920).

13671320 is an abundant number, since it is smaller than the sum of its proper divisors (20076520).

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

13671320 is a wasteful number, since it uses less digits than its factorization.

13671320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 13671320 is about 3697.4748139778. The cubic root of 13671320 is about 239.1131622163.

Adding to 13671320 its reverse (2317631), we get a palindrome (15988951).

The spelling of 13671320 in words is "thirteen million, six hundred seventy-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 61 65 104 122 130 244 260 305 431 488 520 610 793 862 1220 1586 1724 2155 2440 3172 3448 3965 4310 5603 6344 7930 8620 11206 15860 17240 22412 26291 28015 31720 44824 52582 56030 105164 112060 131455 210328 224120 262910 341783 525820 683566 1051640 1367132 1708915 2734264 3417830 6835660 13671320