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13782230 = 2572112557
BaseRepresentation
bin110100100100…
…110011010110
3221221012122222
4310210303112
512012012410
61211222342
7225101300
oct64446326
927835588
1013782230
117863880
1247479b2
132b17287
141b8a970
151323955
hexd24cd6

13782230 has 48 divisors (see below), whose sum is σ = 31494096. Its totient is φ = 4294080.

The previous prime is 13782229. The next prime is 13782269. The reversal of 13782230 is 3228731.

13782230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13782230.

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, 4112 + ... + 6668.

It is an arithmetic number, because the mean of its divisors is an integer number (656127).

Almost surely, 213782230 is an apocalyptic number.

13782230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13782230 is an abundant number, since it is smaller than the sum of its proper divisors (17711866).

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

13782230 is a wasteful number, since it uses less digits than its factorization.

13782230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2589 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 13782230 is about 3712.4425921487. The cubic root of 13782230 is about 239.7580315920.

The spelling of 13782230 in words is "thirteen million, seven hundred eighty-two thousand, two hundred thirty".

Divisors: 1 2 5 7 10 11 14 22 35 49 55 70 77 98 110 154 245 385 490 539 770 1078 2557 2695 5114 5390 12785 17899 25570 28127 35798 56254 89495 125293 140635 178990 196889 250586 281270 393778 626465 984445 1252930 1378223 1968890 2756446 6891115 13782230