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13809900 = 22352133541
BaseRepresentation
bin110100101011…
…100011101100
3221222121121210
4310223203230
512013404100
61211554420
7225245046
oct64534354
927877553
1013809900
117882645
12475ba10
132b26a50
141b96a96
15132bc50
hexd2b8ec

13809900 has 72 divisors (see below), whose sum is σ = 43042384. Its totient is φ = 3398400.

The previous prime is 13809883. The next prime is 13809919. The reversal of 13809900 is 990831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 2130 + ... + 5670.

Almost surely, 213809900 is an apocalyptic number.

13809900 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 13809900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21521192).

13809900 is an abundant number, since it is smaller than the sum of its proper divisors (29232484).

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

13809900 is a wasteful number, since it uses less digits than its factorization.

13809900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3571 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 13809900 is about 3716.1673805145. The cubic root of 13809900 is about 239.9183750199.

The spelling of 13809900 in words is "thirteen million, eight hundred nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3541 3900 7082 10623 14164 17705 21246 35410 42492 46033 53115 70820 88525 92066 106230 138099 177050 184132 212460 230165 265575 276198 354100 460330 531150 552396 690495 920660 1062300 1150825 1380990 2301650 2761980 3452475 4603300 6904950 13809900