Search a number
-
+
13973715 = 35573153
BaseRepresentation
bin110101010011…
…100011010011
3222021221100000
4311103203103
512034124330
61215301043
7226526460
oct65234323
928257300
1013973715
117984728
12481a783
132b83492
141bda667
151360560
hexd538d3

13973715 has 96 divisors (see below), whose sum is σ = 30191616. Its totient is φ = 6065280.

The previous prime is 13973671. The next prime is 13973731. The reversal of 13973715 is 51737931.

It is not a de Polignac number, because 13973715 - 29 = 13973203 is a prime.

It is a super-3 number, since 3×139737153 (a number of 22 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13973715.

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 95 ways as a sum of consecutive naturals, for example, 263629 + ... + 263681.

It is an arithmetic number, because the mean of its divisors is an integer number (314496).

Almost surely, 213973715 is an apocalyptic number.

13973715 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13973715 is an abundant number, since it is smaller than the sum of its proper divisors (16217901).

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

13973715 is an equidigital number, since it uses as much as digits as its factorization.

13973715 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 99 counting only the distinct ones).

The product of its digits is 19845, while the sum is 36.

The square root of 13973715 is about 3738.1432556819. The cubic root of 13973715 is about 240.8632971848.

The spelling of 13973715 in words is "thirteen million, nine hundred seventy-three thousand, seven hundred fifteen".

Divisors: 1 3 5 7 9 15 21 27 31 35 45 53 63 81 93 105 135 155 159 189 217 243 265 279 315 371 405 465 477 567 651 795 837 945 1085 1113 1215 1395 1431 1643 1701 1855 1953 2385 2511 2835 3255 3339 4185 4293 4929 5565 5859 7155 7533 8215 8505 9765 10017 11501 12555 12879 14787 16695 17577 21465 24645 29295 30051 34503 37665 44361 50085 52731 57505 64395 73935 87885 90153 103509 133083 150255 172515 221805 263655 310527 399249 450765 517545 665415 931581 1552635 1996245 2794743 4657905 13973715