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13432120 = 2351321987
BaseRepresentation
bin110011001111…
…010100111000
3221021102101221
4303033110320
511414311440
61155521424
7222112462
oct63172470
927242357
1013432120
117644829
1245b9274
132a23b00
141ad9132
1512a4d4a
hexccf538

13432120 has 48 divisors (see below), whose sum is σ = 32742360. Its totient is φ = 4957056.

The previous prime is 13432109. The next prime is 13432121. The reversal of 13432120 is 2123431.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13432094 and 13432103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13432121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5767 + ... + 7753.

Almost surely, 213432120 is an apocalyptic number.

13432120 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 13432120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16371180).

13432120 is an abundant number, since it is smaller than the sum of its proper divisors (19310240).

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

13432120 is a wasteful number, since it uses less digits than its factorization.

13432120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 13432120 is about 3664.9856752790. The cubic root of 13432120 is about 237.7104026523.

Adding to 13432120 its reverse (2123431), we get a palindrome (15555551).

The spelling of 13432120 in words is "thirteen million, four hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 1987 3380 3974 6760 7948 9935 15896 19870 25831 39740 51662 79480 103324 129155 206648 258310 335803 516620 671606 1033240 1343212 1679015 2686424 3358030 6716060 13432120