Search a number
-
+
14510080 = 211513109
BaseRepresentation
bin110111010110…
…100000000000
31000022012002101
4313112200000
512203310310
61235000144
7234222304
oct67264000
930265071
1014510080
118210702
124a39054
133010660
141cd9d04
15141943a
hexdd6800

14510080 has 96 divisors (see below), whose sum is σ = 37837800. Its totient is φ = 5308416.

The previous prime is 14510039. The next prime is 14510099. The reversal of 14510080 is 8001541.

It can be written as a sum of positive squares in 4 ways, for example, as 10445824 + 4064256 = 3232^2 + 2016^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133066 + ... + 133174.

Almost surely, 214510080 is an apocalyptic number.

14510080 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 14510080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18918900).

14510080 is an abundant number, since it is smaller than the sum of its proper divisors (23327720).

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

14510080 is a wasteful number, since it uses less digits than its factorization.

14510080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 14510080 is about 3809.2098918280. The cubic root of 14510080 is about 243.9064408839.

The spelling of 14510080 in words is "fourteen million, five hundred ten thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 109 128 130 160 208 218 256 260 320 416 436 512 520 545 640 832 872 1024 1040 1090 1280 1417 1664 1744 2048 2080 2180 2560 2834 3328 3488 4160 4360 5120 5668 6656 6976 7085 8320 8720 10240 11336 13312 13952 14170 16640 17440 22672 26624 27904 28340 33280 34880 45344 55808 56680 66560 69760 90688 111616 113360 133120 139520 181376 223232 226720 279040 362752 453440 558080 725504 906880 1116160 1451008 1813760 2902016 3627520 7255040 14510080