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13032030 = 235111723101
BaseRepresentation
bin110001101101…
…101001011110
3220112002120210
4301231221132
511314011110
61143153250
7215525154
oct61555136
926462523
1013032030
1173a1180
124445826
13291397b
141a333d4
151226520
hexc6da5e

13032030 has 128 divisors (see below), whose sum is σ = 38071296. Its totient is φ = 2816000.

The previous prime is 13032023. The next prime is 13032031. The reversal of 13032030 is 3023031.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13031997 and 13032015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13032031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128980 + ... + 129080.

It is an arithmetic number, because the mean of its divisors is an integer number (297432).

Almost surely, 213032030 is an apocalyptic number.

13032030 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 13032030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19035648).

13032030 is an abundant number, since it is smaller than the sum of its proper divisors (25039266).

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

13032030 is a wasteful number, since it uses less digits than its factorization.

13032030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162.

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 13032030 is about 3609.9903046961. The cubic root of 13032030 is about 235.3264212879.

Adding to 13032030 its reverse (3023031), we get a palindrome (16055061).

It can be divided in two parts, 1303 and 2030, that added together give a palindrome (3333).

The spelling of 13032030 in words is "thirteen million, thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 17 22 23 30 33 34 46 51 55 66 69 85 101 102 110 115 138 165 170 187 202 230 253 255 303 330 345 374 391 505 506 510 561 606 690 759 782 935 1010 1111 1122 1173 1265 1515 1518 1717 1870 1955 2222 2323 2346 2530 2805 3030 3333 3434 3795 3910 4301 4646 5151 5555 5610 5865 6666 6969 7590 8585 8602 10302 11110 11615 11730 12903 13938 16665 17170 18887 21505 23230 25553 25755 25806 33330 34845 37774 39491 43010 51106 51510 56661 64515 69690 76659 78982 94435 113322 118473 127765 129030 153318 188870 197455 236946 255530 283305 383295 394910 434401 566610 592365 766590 868802 1184730 1303203 2172005 2606406 4344010 6516015 13032030