Search a number
-
+
14468580 = 22325711483
BaseRepresentation
bin110111001100…
…010111100100
31000020002011100
4313030113210
512200443310
61234040100
7233660310
oct67142744
930202140
1014468580
118192505
124a19030
132cc77b9
141cc8b40
15140bec0
hexdcc5e4

14468580 has 72 divisors (see below), whose sum is σ = 50162112. Its totient is φ = 3306816.

The previous prime is 14468579. The next prime is 14468609. The reversal of 14468580 is 8586441.

14468580 is a `hidden beast` number, since 14 + 4 + 68 + 580 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 4482 + ... + 7001.

It is an arithmetic number, because the mean of its divisors is an integer number (696696).

Almost surely, 214468580 is an apocalyptic number.

14468580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14468580 is an abundant number, since it is smaller than the sum of its proper divisors (35693532).

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

14468580 is a wasteful number, since it uses less digits than its factorization.

14468580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11505 (or 11500 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 14468580 is about 3803.7586674236. The cubic root of 14468580 is about 243.6736881428.

The spelling of 14468580 in words is "fourteen million, four hundred sixty-eight thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 11483 22966 34449 45932 57415 68898 80381 103347 114830 137796 160762 172245 206694 229660 241143 321524 344490 401905 413388 482286 516735 688980 723429 803810 964572 1033470 1205715 1446858 1607620 2066940 2411430 2893716 3617145 4822860 7234290 14468580