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13809474 = 2337217307
BaseRepresentation
bin110100101011…
…011101000010
3221222121001000
4310223131002
512013400344
61211552430
7225243600
oct64533502
927877030
1013809474
117882298
12475b716
132b267b3
141b96870
15132ba69
hexd2b742

13809474 has 96 divisors (see below), whose sum is σ = 37920960. Its totient is φ = 3701376.

The previous prime is 13809461. The next prime is 13809479. The reversal of 13809474 is 47490831.

It is a happy number.

13809474 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13809479) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44829 + ... + 45135.

It is an arithmetic number, because the mean of its divisors is an integer number (395010).

Almost surely, 213809474 is an apocalyptic number.

13809474 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13809474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18960480).

13809474 is an abundant number, since it is smaller than the sum of its proper divisors (24111486).

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

13809474 is a wasteful number, since it uses less digits than its factorization.

13809474 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 13809474 is about 3716.1100629556. The cubic root of 13809474 is about 239.9159080390.

The spelling of 13809474 in words is "thirteen million, eight hundred nine thousand, four hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 49 51 54 63 98 102 119 126 147 153 189 238 294 306 307 357 378 441 459 614 714 833 882 918 921 1071 1323 1666 1842 2142 2149 2499 2646 2763 3213 4298 4998 5219 5526 6426 6447 7497 8289 10438 12894 14994 15043 15657 16578 19341 22491 30086 31314 36533 38682 44982 45129 46971 58023 73066 90258 93942 109599 116046 135387 140913 219198 255731 270774 281826 328797 406161 511462 657594 767193 812322 986391 1534386 1972782 2301579 4603158 6904737 13809474