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13486240 = 255312719
BaseRepresentation
bin110011011100…
…100010100000
3221101011122101
4303130202200
511423024430
61201020144
7222426325
oct63344240
927334571
1013486240
117681459
124624654
132a42631
141b10b4c
1512b5dca
hexcdc8a0

13486240 has 48 divisors (see below), whose sum is σ = 32901120. Its totient is φ = 5218560.

The previous prime is 13486223. The next prime is 13486289. The reversal of 13486240 is 4268431.

It is a junction number, because it is equal to n+sod(n) for n = 13486199 and 13486208.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3601 + ... + 6319.

It is an arithmetic number, because the mean of its divisors is an integer number (685440).

Almost surely, 213486240 is an apocalyptic number.

13486240 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 13486240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16450560).

13486240 is an abundant number, since it is smaller than the sum of its proper divisors (19414880).

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

13486240 is a wasteful number, since it uses less digits than its factorization.

13486240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2765 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 13486240 is about 3672.3616379654. The cubic root of 13486240 is about 238.0292316331.

The spelling of 13486240 in words is "thirteen million, four hundred eighty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2480 2719 4960 5438 10876 13595 21752 27190 43504 54380 84289 87008 108760 168578 217520 337156 421445 435040 674312 842890 1348624 1685780 2697248 3371560 6743120 13486240