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13720120 = 235615623
BaseRepresentation
bin110100010101…
…101000111000
3221211001110121
4310111220320
512003020440
61210023024
7224422231
oct64255070
927731417
1013720120
117821147
124717a74
132ac4c1b
141b72088
15131034a
hexd15a38

13720120 has 32 divisors (see below), whose sum is σ = 31381920. Its totient is φ = 5397120.

The previous prime is 13720061. The next prime is 13720127. The reversal of 13720120 is 2102731.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13720094 and 13720103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13720127) 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 7 ways as a sum of consecutive naturals, for example, 372 + ... + 5251.

It is an arithmetic number, because the mean of its divisors is an integer number (980685).

Almost surely, 213720120 is an apocalyptic number.

13720120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13720120 is an abundant number, since it is smaller than the sum of its proper divisors (17661800).

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

13720120 is a wasteful number, since it uses less digits than its factorization.

13720120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5695 (or 5691 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 13720120 is about 3704.0680339324. The cubic root of 13720120 is about 239.3973304821.

Adding to 13720120 its reverse (2102731), we get a palindrome (15822851).

The spelling of 13720120 in words is "thirteen million, seven hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 5623 11246 22492 28115 44984 56230 112460 224920 343003 686006 1372012 1715015 2744024 3430030 6860060 13720120