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13720146 = 2311474423
BaseRepresentation
bin110100010101…
…101001010010
3221211001111120
4310111221102
512003021041
61210023110
7224422266
oct64255122
927731446
1013720146
117821170
124717a96
132ac4c3b
141b720a6
151310366
hexd15a52

13720146 has 32 divisors (see below), whose sum is σ = 30578688. Its totient is φ = 4068240.

The previous prime is 13720129. The next prime is 13720159. The reversal of 13720146 is 64102731.

It is a super-2 number, since 2×137201462 = 376484812522632, which contains 22 as substring.

It is a zygodrome in base 7.

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, 891 + ... + 5313.

It is an arithmetic number, because the mean of its divisors is an integer number (955584).

Almost surely, 213720146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13720146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15289344).

13720146 is an abundant number, since it is smaller than the sum of its proper divisors (16858542).

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

13720146 is a wasteful number, since it uses less digits than its factorization.

13720146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4486.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 13720146 is about 3704.0715435855. The cubic root of 13720146 is about 239.3974817035.

Adding to 13720146 its reverse (64102731), we get a palindrome (77822877).

The spelling of 13720146 in words is "thirteen million, seven hundred twenty thousand, one hundred forty-six".

Divisors: 1 2 3 6 11 22 33 47 66 94 141 282 517 1034 1551 3102 4423 8846 13269 26538 48653 97306 145959 207881 291918 415762 623643 1247286 2286691 4573382 6860073 13720146