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14808090 = 23511231951
BaseRepresentation
bin111000011111…
…010000011010
31000212022212210
4320133100122
512242324330
61245215550
7236603163
oct70372032
930768783
1014808090
1183a45a0
124b615b6
1330b61ab
141d7676a
1514778b0
hexe1f41a

14808090 has 64 divisors (see below), whose sum is σ = 40476672. Its totient is φ = 3432000.

The previous prime is 14808089. The next prime is 14808097. The reversal of 14808090 is 9080841.

It is a happy number.

14808090 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 a super-3 number, since 3×148080903 (a number of 22 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (14808097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6615 + ... + 8565.

It is an arithmetic number, because the mean of its divisors is an integer number (632448).

Almost surely, 214808090 is an apocalyptic number.

14808090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14808090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20238336).

14808090 is an abundant number, since it is smaller than the sum of its proper divisors (25668582).

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

14808090 is a wasteful number, since it uses less digits than its factorization.

14808090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995.

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 14808090 is about 3848.1281163703. The cubic root of 14808090 is about 245.5649326407.

The spelling of 14808090 in words is "fourteen million, eight hundred eight thousand, ninety".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 138 165 230 253 330 345 506 690 759 1265 1518 1951 2530 3795 3902 5853 7590 9755 11706 19510 21461 29265 42922 44873 58530 64383 89746 107305 128766 134619 214610 224365 269238 321915 448730 493603 643830 673095 987206 1346190 1480809 2468015 2961618 4936030 7404045 14808090