Search a number
-
+
14520900 = 2235297499
BaseRepresentation
bin110111011001…
…001001000100
31000022201221010
4313121021010
512204132100
61235122220
7234265662
oct67311104
930281833
1014520900
118218849
124a43370
133015564
141cddc32
15141c750
hexdd9244

14520900 has 72 divisors (see below), whose sum is σ = 42532000. Its totient is φ = 3824640.

The previous prime is 14520899. The next prime is 14520917. The reversal of 14520900 is 902541.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 28851 + ... + 29349.

Almost surely, 214520900 is an apocalyptic number.

14520900 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 14520900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21266000).

14520900 is an abundant number, since it is smaller than the sum of its proper divisors (28011100).

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

14520900 is a wasteful number, since it uses less digits than its factorization.

14520900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 14520900 is about 3810.6298691949. The cubic root of 14520900 is about 243.9670518980.

The spelling of 14520900 in words is "fourteen million, five hundred twenty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 97 100 150 194 291 300 388 485 499 582 970 998 1164 1455 1497 1940 1996 2425 2495 2910 2994 4850 4990 5820 5988 7275 7485 9700 9980 12475 14550 14970 24950 29100 29940 37425 48403 49900 74850 96806 145209 149700 193612 242015 290418 484030 580836 726045 968060 1210075 1452090 2420150 2904180 3630225 4840300 7260450 14520900