Search a number
-
+
13909080 = 2335313739
BaseRepresentation
bin110101000011…
…110001011000
3222011122200010
4311003301120
512030042310
61214041520
7226140153
oct65036130
928148603
1013909080
117940109
1247a92a0
132b5cc33
141bc0c9a
15134b320
hexd43c58

13909080 has 64 divisors (see below), whose sum is σ = 43084800. Its totient is φ = 3588480.

The previous prime is 13909079. The next prime is 13909087. The reversal of 13909080 is 8090931.

It is a happy number.

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 (13909087) 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, 1851 + ... + 5589.

It is an arithmetic number, because the mean of its divisors is an integer number (673200).

Almost surely, 213909080 is an apocalyptic number.

13909080 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 13909080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21542400).

13909080 is an abundant number, since it is smaller than the sum of its proper divisors (29175720).

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

13909080 is a wasteful number, since it uses less digits than its factorization.

13909080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3784 (or 3780 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 13909080 is about 3729.4879005032. The cubic root of 13909080 is about 240.4913544695.

The spelling of 13909080 in words is "thirteen million, nine hundred nine thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 3739 7478 11217 14956 18695 22434 29912 37390 44868 56085 74780 89736 112170 115909 149560 224340 231818 347727 448680 463636 579545 695454 927272 1159090 1390908 1738635 2318180 2781816 3477270 4636360 6954540 13909080