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13683150 = 23252132339
BaseRepresentation
bin110100001100…
…100111001110
3221202011202100
4310030213032
512000330100
61205135530
7224206365
oct64144716
927664670
1013683150
1177a6398
1246ba5a6
132ab1150
141b627dc
151304400
hexd0c9ce

13683150 has 72 divisors (see below), whose sum is σ = 39606840. Its totient is φ = 3366720.

The previous prime is 13683143. The next prime is 13683161. The reversal of 13683150 is 5138631.

13683150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

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, 4681 + ... + 7019.

It is an arithmetic number, because the mean of its divisors is an integer number (550095).

Almost surely, 213683150 is an apocalyptic number.

13683150 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 13683150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19803420).

13683150 is an abundant number, since it is smaller than the sum of its proper divisors (25923690).

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

13683150 is a wasteful number, since it uses less digits than its factorization.

13683150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2370 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 13683150 is about 3699.0742085014. The cubic root of 13683150 is about 239.1821117445.

The spelling of 13683150 in words is "thirteen million, six hundred eighty-three thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 390 450 585 650 975 1170 1950 2339 2925 4678 5850 7017 11695 14034 21051 23390 30407 35085 42102 58475 60814 70170 91221 105255 116950 152035 175425 182442 210510 273663 304070 350850 456105 526275 547326 760175 912210 1052550 1368315 1520350 2280525 2736630 4561050 6841575 13683150