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13444020 = 22325193931
BaseRepresentation
bin110011010010…
…001110110100
3221022000201200
4303102032310
511420202040
61200052500
7222162252
oct63221664
927260650
1013444020
117652767
124604130
132a29355
141add5d2
1512a8630
hexcd23b4

13444020 has 72 divisors (see below), whose sum is σ = 42937440. Its totient is φ = 3395520.

The previous prime is 13444007. The next prime is 13444027. The reversal of 13444020 is 2044431.

13444020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13443984 and 13444002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13444027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1455 + ... + 5385.

Almost surely, 213444020 is an apocalyptic number.

13444020 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 13444020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21468720).

13444020 is an abundant number, since it is smaller than the sum of its proper divisors (29493420).

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

13444020 is a wasteful number, since it uses less digits than its factorization.

13444020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3965 (or 3960 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 13444020 is about 3666.6087874220. The cubic root of 13444020 is about 237.7805806743.

Adding to 13444020 its reverse (2044431), we get a palindrome (15488451).

The spelling of 13444020 in words is "thirteen million, four hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 3931 7862 11793 15724 19655 23586 35379 39310 47172 58965 70758 74689 78620 117930 141516 149378 176895 224067 235860 298756 353790 373445 448134 672201 707580 746890 896268 1120335 1344402 1493780 2240670 2688804 3361005 4481340 6722010 13444020