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13029300 = 22325231467
BaseRepresentation
bin110001101100…
…111110110100
3220111221211200
4301230332310
511313414200
61143132500
7215514204
oct61547664
926457750
1013029300
11739a119
124444130
13291265b
141a32404
151225800
hexc6cfb4

13029300 has 108 divisors (see below), whose sum is σ = 42247296. Its totient is φ = 3355200.

The previous prime is 13029299. The next prime is 13029319. The reversal of 13029300 is 392031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27667 + ... + 28133.

Almost surely, 213029300 is an apocalyptic number.

13029300 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 13029300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21123648).

13029300 is an abundant number, since it is smaller than the sum of its proper divisors (29217996).

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

13029300 is a wasteful number, since it uses less digits than its factorization.

13029300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 13029300 is about 3609.6121675327. The cubic root of 13029300 is about 235.3099877776.

The spelling of 13029300 in words is "thirteen million, twenty-nine thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 31 36 45 50 60 62 75 90 93 100 124 150 155 180 186 225 279 300 310 372 450 465 467 558 620 775 900 930 934 1116 1395 1401 1550 1860 1868 2325 2335 2790 2802 3100 4203 4650 4670 5580 5604 6975 7005 8406 9300 9340 11675 13950 14010 14477 16812 21015 23350 27900 28020 28954 35025 42030 43431 46700 57908 70050 72385 84060 86862 105075 130293 140100 144770 173724 210150 217155 260586 289540 361925 420300 434310 521172 651465 723850 868620 1085775 1302930 1447700 2171550 2605860 3257325 4343100 6514650 13029300