Search a number
-
+
14789460 = 22357231531
BaseRepresentation
bin111000011010…
…101101010100
31000211101022210
4320122231110
512241230320
61244553420
7236464650
oct70325524
930741283
1014789460
1183915a4
124b52870
1330aa87a
141d6da60
1514720e0
hexe1ab54

14789460 has 96 divisors (see below), whose sum is σ = 49416192. Its totient is φ = 3231360.

The previous prime is 14789459. The next prime is 14789477. The reversal of 14789460 is 6498741.

It is a happy number.

14789460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8895 + ... + 10425.

It is an arithmetic number, because the mean of its divisors is an integer number (514752).

Almost surely, 214789460 is an apocalyptic number.

14789460 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 14789460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24708096).

14789460 is an abundant number, since it is smaller than the sum of its proper divisors (34626732).

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

14789460 is a wasteful number, since it uses less digits than its factorization.

14789460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 14789460 is about 3845.7066970844. The cubic root of 14789460 is about 245.4619079971.

The spelling of 14789460 in words is "fourteen million, seven hundred eighty-nine thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 60 69 70 84 92 105 115 138 140 161 210 230 276 322 345 420 460 483 644 690 805 966 1380 1531 1610 1932 2415 3062 3220 4593 4830 6124 7655 9186 9660 10717 15310 18372 21434 22965 30620 32151 35213 42868 45930 53585 64302 70426 91860 105639 107170 128604 140852 160755 176065 211278 214340 246491 321510 352130 422556 492982 528195 643020 704260 739473 985964 1056390 1232455 1478946 2112780 2464910 2957892 3697365 4929820 7394730 14789460