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13947380 = 2254173233
BaseRepresentation
bin110101001101…
…000111110100
3222020121012122
4311031013310
512032304010
61214535112
7226356626
oct65150764
928217178
1013947380
117966967
124807498
132b744b5
141bd0c16
151357855
hexd4d1f4

13947380 has 48 divisors (see below), whose sum is σ = 30545424. Its totient is φ = 5345280.

The previous prime is 13947359. The next prime is 13947397. The reversal of 13947380 is 8374931.

It can be written as a sum of positive squares in 8 ways, for example, as 2951524 + 10995856 = 1718^2 + 3316^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13947380.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59744 + ... + 59976.

It is an arithmetic number, because the mean of its divisors is an integer number (636363).

Almost surely, 213947380 is an apocalyptic number.

13947380 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 13947380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15272712).

13947380 is an abundant number, since it is smaller than the sum of its proper divisors (16598044).

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

13947380 is a wasteful number, since it uses less digits than its factorization.

13947380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 13947380 is about 3734.6191238197. The cubic root of 13947380 is about 240.7118909223.

The spelling of 13947380 in words is "thirteen million, nine hundred forty-seven thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 41 73 82 146 164 205 233 292 365 410 466 730 820 932 1165 1460 2330 2993 4660 5986 9553 11972 14965 17009 19106 29930 34018 38212 47765 59860 68036 85045 95530 170090 191060 340180 697369 1394738 2789476 3486845 6973690 13947380