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13808280 = 2335235003
BaseRepresentation
bin110100101011…
…001010011000
3221222112101210
4310223022120
512013331110
61211543120
7225240243
oct64531230
927875353
1013808280
117881402
12475aaa0
132b260a5
141b9625a
15132b520
hexd2b298

13808280 has 64 divisors (see below), whose sum is σ = 43234560. Its totient is φ = 3521408.

The previous prime is 13808251. The next prime is 13808281. The reversal of 13808280 is 8280831.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13808281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259 + ... + 5261.

It is an arithmetic number, because the mean of its divisors is an integer number (675540).

Almost surely, 213808280 is an apocalyptic number.

13808280 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 13808280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21617280).

13808280 is an abundant number, since it is smaller than the sum of its proper divisors (29426280).

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

13808280 is a wasteful number, since it uses less digits than its factorization.

13808280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5040 (or 5036 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 13808280 is about 3715.9494076212. The cubic root of 13808280 is about 239.9089932729.

The spelling of 13808280 in words is "thirteen million, eight hundred eight thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 5003 10006 15009 20012 25015 30018 40024 50030 60036 75045 100060 115069 120072 150090 200120 230138 300180 345207 460276 575345 600360 690414 920552 1150690 1380828 1726035 2301380 2761656 3452070 4602760 6904140 13808280