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13245930 = 23652379
BaseRepresentation
bin110010100001…
…110111101010
3220220222000000
4302201313222
511342332210
61151523430
7220405605
oct62416752
926828000
1013245930
117527955
124529576
13298a139
141a8b33c
151269ac0
hexca1dea

13245930 has 112 divisors (see below), whose sum is σ = 37774080. Its totient is φ = 3335904.

The previous prime is 13245917. The next prime is 13245931. The reversal of 13245930 is 3954231.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13245894 and 13245903.

It is not an unprimeable number, because it can be changed into a prime (13245931) 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 55 ways as a sum of consecutive naturals, for example, 167631 + ... + 167709.

Almost surely, 213245930 is an apocalyptic number.

13245930 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 13245930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18887040).

13245930 is an abundant number, since it is smaller than the sum of its proper divisors (24528150).

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

13245930 is an equidigital number, since it uses as much as digits as its factorization.

13245930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 13245930 is about 3639.4958442070. The cubic root of 13245930 is about 236.6069434259.

The spelling of 13245930 in words is "thirteen million, two hundred forty-five thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 79 81 90 115 135 138 158 162 207 230 237 243 270 345 395 405 414 474 486 621 690 711 729 790 810 1035 1185 1215 1242 1422 1458 1817 1863 2070 2133 2370 2430 3105 3555 3634 3645 3726 4266 5451 5589 6210 6399 7110 7290 9085 9315 10665 10902 11178 12798 16353 16767 18170 18630 19197 21330 27255 27945 31995 32706 33534 38394 49059 54510 55890 57591 63990 81765 83835 95985 98118 115182 147177 163530 167670 191970 245295 287955 294354 441531 490590 575910 735885 883062 1324593 1471770 2207655 2649186 4415310 6622965 13245930