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13729380 = 2235797337
BaseRepresentation
bin110100010111…
…111001100100
3221211112011120
4310113321210
512003320010
61210133540
7224461230
oct64277144
927745146
1013729380
1178280a5
1247212b0
132ac91c2
141b755c0
151312e70
hexd17e64

13729380 has 96 divisors (see below), whose sum is σ = 44518656. Its totient is φ = 3096576.

The previous prime is 13729369. The next prime is 13729399. The reversal of 13729380 is 8392731.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 40572 + ... + 40908.

It is an arithmetic number, because the mean of its divisors is an integer number (463736).

Almost surely, 213729380 is an apocalyptic number.

13729380 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 13729380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22259328).

13729380 is an abundant number, since it is smaller than the sum of its proper divisors (30789276).

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

13729380 is a wasteful number, since it uses less digits than its factorization.

13729380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 13729380 is about 3705.3178001354. The cubic root of 13729380 is about 239.4511764820.

The spelling of 13729380 in words is "thirteen million, seven hundred twenty-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 97 105 140 194 210 291 337 388 420 485 582 674 679 970 1011 1164 1348 1358 1455 1685 1940 2022 2037 2359 2716 2910 3370 3395 4044 4074 4718 5055 5820 6740 6790 7077 8148 9436 10110 10185 11795 13580 14154 20220 20370 23590 28308 32689 35385 40740 47180 65378 70770 98067 130756 141540 163445 196134 228823 326890 392268 457646 490335 653780 686469 915292 980670 1144115 1372938 1961340 2288230 2745876 3432345 4576460 6864690 13729380