Search a number
-
+
13445540 = 2251941863
BaseRepresentation
bin110011010010…
…100110100100
3221022002210222
4303102212210
511420224130
61200103512
7222166553
oct63224644
927262728
1013445540
117653919
124604b98
132a29c54
141addd9a
1512a8ce5
hexcd29a4

13445540 has 48 divisors (see below), whose sum is σ = 30481920. Its totient is φ = 4965120.

The previous prime is 13445539. The next prime is 13445543. The reversal of 13445540 is 4554431.

It is not an unprimeable number, because it can be changed into a prime (13445543) 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 15 ways as a sum of consecutive naturals, for example, 15149 + ... + 16011.

It is an arithmetic number, because the mean of its divisors is an integer number (635040).

Almost surely, 213445540 is an apocalyptic number.

13445540 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 13445540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240960).

13445540 is an abundant number, since it is smaller than the sum of its proper divisors (17036380).

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

13445540 is a wasteful number, since it uses less digits than its factorization.

13445540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 13445540 is about 3666.8160575627. The cubic root of 13445540 is about 237.7895416067.

Adding to 13445540 its reverse (4554431), we get a palindrome (17999971).

The spelling of 13445540 in words is "thirteen million, four hundred forty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 19 20 38 41 76 82 95 164 190 205 380 410 779 820 863 1558 1726 3116 3452 3895 4315 7790 8630 15580 16397 17260 32794 35383 65588 70766 81985 141532 163970 176915 327940 353830 672277 707660 1344554 2689108 3361385 6722770 13445540