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13729001 = 11131931163
BaseRepresentation
bin110100010111…
…110011101001
3221211111122112
4310113303221
512003312001
61210132105
7224460146
oct64276351
927744575
1013729001
117827890
124721035
132ac8c90
141b753cd
151312cbb
hexd17ce9

13729001 has 32 divisors (see below), whose sum is σ = 17633280. Its totient is φ = 10497600.

The previous prime is 13728989. The next prime is 13729003. The reversal of 13729001 is 10092731.

It is a cyclic number.

It is not a de Polignac number, because 13729001 - 26 = 13728937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13729003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84146 + ... + 84308.

It is an arithmetic number, because the mean of its divisors is an integer number (551040).

Almost surely, 213729001 is an apocalyptic number.

13729001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13729001 is a deficient number, since it is larger than the sum of its proper divisors (3904279).

13729001 is a wasteful number, since it uses less digits than its factorization.

13729001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237.

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 13729001 is about 3705.2666570707. The cubic root of 13729001 is about 239.4489731091.

The spelling of 13729001 in words is "thirteen million, seven hundred twenty-nine thousand, one".

Divisors: 1 11 13 19 31 143 163 209 247 341 403 589 1793 2119 2717 3097 4433 5053 6479 7657 23309 34067 40261 55583 65689 84227 96007 442871 722579 1056077 1248091 13729001