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13299930 = 2335731227
BaseRepresentation
bin110010101111…
…000011011010
3221000201002000
4302233003122
511401044210
61153021430
7221022210
oct62570332
927021060
1013299930
117564486
124554876
1329a88a7
141aa2cb0
15127aac0
hexcaf0da

13299930 has 128 divisors (see below), whose sum is σ = 42024960. Its totient is φ = 2928960.

The previous prime is 13299907. The next prime is 13299931. The reversal of 13299930 is 3999231.

It is not an unprimeable number, because it can be changed into a prime (13299931) 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 63 ways as a sum of consecutive naturals, for example, 58477 + ... + 58703.

It is an arithmetic number, because the mean of its divisors is an integer number (328320).

Almost surely, 213299930 is an apocalyptic number.

13299930 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 13299930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21012480).

13299930 is an abundant number, since it is smaller than the sum of its proper divisors (28725030).

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

13299930 is a wasteful number, since it uses less digits than its factorization.

13299930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 13299930 is about 3646.9069086008. The cubic root of 13299930 is about 236.9280345510.

The spelling of 13299930 in words is "thirteen million, two hundred ninety-nine thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 31 35 42 45 54 62 63 70 90 93 105 126 135 155 186 189 210 217 227 270 279 310 315 378 434 454 465 558 630 651 681 837 930 945 1085 1135 1302 1362 1395 1589 1674 1890 1953 2043 2170 2270 2790 3178 3255 3405 3906 4086 4185 4767 5859 6129 6510 6810 7037 7945 8370 9534 9765 10215 11718 12258 14074 14301 15890 19530 20430 21111 23835 28602 29295 30645 35185 42222 42903 47670 49259 58590 61290 63333 70370 71505 85806 98518 105555 126666 143010 147777 189999 211110 214515 246295 295554 316665 379998 429030 443331 492590 633330 738885 886662 949995 1329993 1477770 1899990 2216655 2659986 4433310 6649965 13299930