Search a number
-
+
14205040 = 245374799
BaseRepresentation
bin110110001100…
…000001110000
3222201200122121
4312030001300
512114030130
61224244024
7231512053
oct66140160
928650577
1014205040
118022503
124910614
132c34865
141c5aa9a
1513a8d7a
hexd8c070

14205040 has 40 divisors (see below), whose sum is σ = 33926400. Its totient is φ = 5527296.

The previous prime is 14205031. The next prime is 14205067. The reversal of 14205040 is 4050241.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×142050402 = 403566322803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 561 + ... + 5359.

It is an arithmetic number, because the mean of its divisors is an integer number (848160).

Almost surely, 214205040 is an apocalyptic number.

14205040 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 14205040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16963200).

14205040 is an abundant number, since it is smaller than the sum of its proper divisors (19721360).

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

14205040 is a wasteful number, since it uses less digits than its factorization.

14205040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4849 (or 4843 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 14205040 is about 3768.9574155196. The cubic root of 14205040 is about 242.1851371119.

Adding to 14205040 its reverse (4050241), we get a palindrome (18255281).

The spelling of 14205040 in words is "fourteen million, two hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 4799 9598 19196 23995 38392 47990 76784 95980 177563 191960 355126 383920 710252 887815 1420504 1775630 2841008 3551260 7102520 14205040