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13928740 = 2257261233
BaseRepresentation
bin110101001000…
…100100100100
3222012122122021
4311020210210
512031204430
61214312524
7226251400
oct65104444
928178567
1013928740
117953961
1247b8744
132b68b77
141bc8100
15135207a
hexd48924

13928740 has 72 divisors (see below), whose sum is σ = 34732152. Its totient is φ = 4677120.

The previous prime is 13928737. The next prime is 13928741. The reversal of 13928740 is 4782931.

It can be written as a sum of positive squares in 4 ways, for example, as 268324 + 13660416 = 518^2 + 3696^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13928696 and 13928705.

It is not an unprimeable number, because it can be changed into a prime (13928741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59664 + ... + 59896.

It is an arithmetic number, because the mean of its divisors is an integer number (482391).

Almost surely, 213928740 is an apocalyptic number.

13928740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13928740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17366076).

13928740 is an abundant number, since it is smaller than the sum of its proper divisors (20803412).

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

13928740 is a wasteful number, since it uses less digits than its factorization.

13928740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 13928740 is about 3732.1227203831. The cubic root of 13928740 is about 240.6046098425.

The spelling of 13928740 in words is "thirteen million, nine hundred twenty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 61 70 98 122 140 196 233 244 245 305 427 466 490 610 854 932 980 1165 1220 1631 1708 2135 2330 2989 3262 4270 4660 5978 6524 8155 8540 11417 11956 14213 14945 16310 22834 28426 29890 32620 45668 56852 57085 59780 71065 99491 114170 142130 198982 228340 284260 397964 497455 696437 994910 1392874 1989820 2785748 3482185 6964370 13928740