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13863150 = 235527163
BaseRepresentation
bin110100111000…
…100011101110
3222002022200000
4310320203232
512022110100
61213045130
7225556230
oct64704356
928068600
1013863150
117909654
1247867a6
132b45062
141bac250
15133c900
hexd388ee

13863150 has 144 divisors (see below), whose sum is σ = 44413824. Its totient is φ = 3149280.

The previous prime is 13863149. The next prime is 13863191. The reversal of 13863150 is 5136831.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 71 ways as a sum of consecutive naturals, for example, 84969 + ... + 85131.

Almost surely, 213863150 is an apocalyptic number.

13863150 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 13863150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22206912).

13863150 is an abundant number, since it is smaller than the sum of its proper divisors (30550674).

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

13863150 is a wasteful number, since it uses less digits than its factorization.

13863150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 180 counting only the distinct ones).

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

The square root of 13863150 is about 3723.3251268188. The cubic root of 13863150 is about 240.2263489585.

Adding to 13863150 its reverse (5136831), we get a palindrome (18999981).

The spelling of 13863150 in words is "thirteen million, eight hundred sixty-three thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 81 90 105 126 135 150 162 163 175 189 210 225 243 270 315 326 350 378 405 450 486 489 525 567 630 675 810 815 945 978 1050 1134 1141 1215 1350 1467 1575 1630 1701 1890 2025 2282 2430 2445 2835 2934 3150 3402 3423 4050 4075 4401 4725 4890 5670 5705 6075 6846 7335 8150 8505 8802 9450 10269 11410 12150 12225 13203 14175 14670 17010 17115 20538 22005 24450 26406 28350 28525 30807 34230 36675 39609 42525 44010 51345 57050 61614 66015 73350 79218 85050 85575 92421 102690 110025 132030 154035 171150 184842 198045 220050 256725 277263 308070 330075 396090 462105 513450 554526 660150 770175 924210 990225 1386315 1540350 1980450 2310525 2772630 4621050 6931575 13863150