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14965290 = 2335431289
BaseRepresentation
bin111001000101…
…101000101010
31001011022112000
4321011220222
512312342130
61252431430
7241126404
oct71055052
931138460
1014965290
1184a170a
125018576
13313c902
141db7b74
1514a9260
hexe45a2a

14965290 has 64 divisors (see below), whose sum is σ = 40867200. Its totient is φ = 3894912.

The previous prime is 14965289. The next prime is 14965297. The reversal of 14965290 is 9256941.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14965297) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10966 + ... + 12254.

It is an arithmetic number, because the mean of its divisors is an integer number (638550).

Almost surely, 214965290 is an apocalyptic number.

14965290 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 14965290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20433600).

14965290 is an abundant number, since it is smaller than the sum of its proper divisors (25901910).

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

14965290 is a wasteful number, since it uses less digits than its factorization.

14965290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 14965290 is about 3868.4997091896. The cubic root of 14965290 is about 246.4308333576.

It can be divided in two parts, 1496 and 5290, that added together give a triangular number (6786 = T116).

The spelling of 14965290 in words is "fourteen million, nine hundred sixty-five thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 86 90 129 135 215 258 270 387 430 645 774 1161 1289 1290 1935 2322 2578 3867 3870 5805 6445 7734 11601 11610 12890 19335 23202 34803 38670 55427 58005 69606 110854 116010 166281 174015 277135 332562 348030 498843 554270 831405 997686 1496529 1662810 2494215 2993058 4988430 7482645 14965290