Search a number
-
+
13433420 = 22571121361
BaseRepresentation
bin110011001111…
…101001001100
3221021111012002
4303033221030
511414332140
61155531432
7222116330
oct63175114
927244162
1013433420
117645800
1245b9b78
132a24590
141ad97c0
1512a5415
hexccfa4c

13433420 has 144 divisors (see below), whose sum is σ = 38789184. Its totient is φ = 3801600.

The previous prime is 13433419. The next prime is 13433429. The reversal of 13433420 is 2433431.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13433392 and 13433401.

It is not an unprimeable number, because it can be changed into a prime (13433429) 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 47 ways as a sum of consecutive naturals, for example, 220190 + ... + 220250.

Almost surely, 213433420 is an apocalyptic number.

13433420 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 13433420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19394592).

13433420 is an abundant number, since it is smaller than the sum of its proper divisors (25355764).

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

13433420 is a wasteful number, since it uses less digits than its factorization.

13433420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 13433420 is about 3665.1630250236. The cubic root of 13433420 is about 237.7180711751.

Adding to 13433420 its reverse (2433431), we get a palindrome (15866851).

The spelling of 13433420 in words is "thirteen million, four hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 61 65 70 77 91 110 121 122 130 140 143 154 182 220 242 244 260 286 305 308 364 385 427 455 484 572 605 610 671 715 770 793 847 854 910 1001 1210 1220 1342 1430 1540 1573 1586 1694 1708 1820 2002 2135 2420 2684 2860 3146 3172 3355 3388 3965 4004 4235 4270 4697 5005 5551 6292 6710 7381 7865 7930 8470 8540 8723 9394 10010 11011 11102 13420 14762 15730 15860 16940 17446 18788 20020 22022 22204 23485 27755 29524 31460 34892 36905 43615 44044 46970 51667 55055 55510 61061 73810 87230 93940 95953 103334 110110 111020 122122 147620 174460 191906 206668 220220 244244 258335 305305 383812 479765 516670 610610 671671 959530 1033340 1221220 1343342 1919060 2686684 3358355 6716710 13433420