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13428030 = 2357115813
BaseRepresentation
bin110011001110…
…010100111110
3221021012210110
4303032110332
511414144110
61155450450
7222064530
oct63162476
927235713
1013428030
117641750
1245b6a26
132a21ca5
141ad7850
1512a3a20
hexcce53e

13428030 has 64 divisors (see below), whose sum is σ = 40186368. Its totient is φ = 2789760.

The previous prime is 13427983. The next prime is 13428049. The reversal of 13428030 is 3082431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 13427988 and 13428006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 597 + ... + 5216.

It is an arithmetic number, because the mean of its divisors is an integer number (627912).

Almost surely, 213428030 is an apocalyptic number.

13428030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13428030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20093184).

13428030 is an abundant number, since it is smaller than the sum of its proper divisors (26758338).

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

13428030 is a wasteful number, since it uses less digits than its factorization.

13428030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5841.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 13428030 is about 3664.4276497156. The cubic root of 13428030 is about 237.6862730723.

The spelling of 13428030 in words is "thirteen million, four hundred twenty-eight thousand, thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 2310 5813 11626 17439 29065 34878 40691 58130 63943 81382 87195 122073 127886 174390 191829 203455 244146 319715 383658 406910 447601 610365 639430 895202 959145 1220730 1342803 1918290 2238005 2685606 4476010 6714015 13428030