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14790 = 2351729
BaseRepresentation
bin11100111000110
3202021210
43213012
5433130
6152250
761056
oct34706
922253
1014790
1110126
128686
136969
145566
1545b0
hex39c6

14790 has 32 divisors (see below), whose sum is σ = 38880. Its totient is φ = 3584.

The previous prime is 14783. The next prime is 14797. The reversal of 14790 is 9741.

Added to its reverse (9741) it gives a triangular number (24531 = T221).

It is an interprime number because it is at equal distance from previous prime (14783) and next prime (14797).

14790 is an undulating number in base 12 and base 13.

It is a Curzon number.

It is a plaindrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14797) by changing a digit.

14790 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 496 + ... + 524.

It is an arithmetic number, because the mean of its divisors is an integer number (1215).

214790 is an apocalyptic number.

14790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19440).

14790 is an abundant number, since it is smaller than the sum of its proper divisors (24090).

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

14790 is a wasteful number, since it uses less digits than its factorization.

14790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56.

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 14790 is about 121.6141439143. The cubic root of 14790 is about 24.5464895436.

Adding to 14790 its reverse (9741), we get a triangular number (24531 = T221).

The spelling of 14790 in words is "fourteen thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 29 30 34 51 58 85 87 102 145 170 174 255 290 435 493 510 870 986 1479 2465 2958 4930 7395 14790