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13830150 = 2352137673
BaseRepresentation
bin110100110000…
…100000000110
3222000122101210
4310300200012
512020031100
61212232250
7225361065
oct64604006
928018353
1013830150
117896884
12476b686
132b33029
141ba01dc
151332c50
hexd30806

13830150 has 48 divisors (see below), whose sum is σ = 34600464. Its totient is φ = 3655680.

The previous prime is 13830149. The next prime is 13830169. The reversal of 13830150 is 5103831.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20214 + ... + 20886.

It is an arithmetic number, because the mean of its divisors is an integer number (720843).

Almost surely, 213830150 is an apocalyptic number.

13830150 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 13830150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17300232).

13830150 is an abundant number, since it is smaller than the sum of its proper divisors (20770314).

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

13830150 is a wasteful number, since it uses less digits than its factorization.

13830150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 13830150 is about 3718.8909637149. The cubic root of 13830150 is about 240.0355850013.

Adding to 13830150 its reverse (5103831), we get a palindrome (18933981).

The spelling of 13830150 in words is "thirteen million, eight hundred thirty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 137 150 274 411 673 685 822 1346 1370 2019 2055 3365 3425 4038 4110 6730 6850 10095 10275 16825 20190 20550 33650 50475 92201 100950 184402 276603 461005 553206 922010 1383015 2305025 2766030 4610050 6915075 13830150