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13800270 = 23511193171
BaseRepresentation
bin110100101001…
…001101001110
3221222010102010
4310221031032
512013102040
61211442050
7225205011
oct64511516
927863363
1013800270
117876390
124756326
132b22553
141b93378
151328e80
hexd2934e

13800270 has 128 divisors (see below), whose sum is σ = 39813120. Its totient is φ = 3024000.

The previous prime is 13800221. The next prime is 13800307. The reversal of 13800270 is 7200831.

13800270 is digitally balanced in base 2 and base 4, because in such bases 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 63 ways as a sum of consecutive naturals, for example, 194335 + ... + 194405.

It is an arithmetic number, because the mean of its divisors is an integer number (311040).

Almost surely, 213800270 is an apocalyptic number.

13800270 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 13800270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19906560).

13800270 is an abundant number, since it is smaller than the sum of its proper divisors (26012850).

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

13800270 is a wasteful number, since it uses less digits than its factorization.

13800270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142.

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 13800270 is about 3714.8714648020. The cubic root of 13800270 is about 239.8625949589.

The spelling of 13800270 in words is "thirteen million, eight hundred thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 31 33 38 55 57 62 66 71 93 95 110 114 142 155 165 186 190 209 213 285 310 330 341 355 418 426 465 570 589 627 682 710 781 930 1023 1045 1065 1178 1254 1349 1562 1705 1767 2046 2090 2130 2201 2343 2698 2945 3135 3410 3534 3905 4047 4402 4686 5115 5890 6270 6479 6603 6745 7810 8094 8835 10230 11005 11715 12958 13206 13490 14839 17670 19437 20235 22010 23430 24211 29678 32395 33015 38874 40470 41819 44517 48422 64790 66030 72633 74195 83638 89034 97185 121055 125457 145266 148390 194370 209095 222585 242110 250914 363165 418190 445170 460009 627285 726330 920018 1254570 1380027 2300045 2760054 4600090 6900135 13800270