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14660500 = 2253109269
BaseRepresentation
bin110111111011…
…001110010100
31000120211102111
4313323032110
512223114000
61242120404
7235416661
oct67731624
930524374
1014660500
118303718
124ab0104
133063c6a
141d38a68
151448cba
hexdfb394

14660500 has 48 divisors (see below), whose sum is σ = 32432400. Its totient is φ = 5788800.

The previous prime is 14660467. The next prime is 14660501. The reversal of 14660500 is 506641.

It can be written as a sum of positive squares in 8 ways, for example, as 7064964 + 7595536 = 2658^2 + 2756^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14660501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54366 + ... + 54634.

It is an arithmetic number, because the mean of its divisors is an integer number (675675).

Almost surely, 214660500 is an apocalyptic number.

14660500 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 14660500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16216200).

14660500 is an abundant number, since it is smaller than the sum of its proper divisors (17771900).

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

14660500 is a wasteful number, since it uses less digits than its factorization.

14660500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 14660500 is about 3828.9032372208. The cubic root of 14660500 is about 244.7463708756.

The spelling of 14660500 in words is "fourteen million, six hundred sixty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 125 218 250 269 436 500 538 545 1076 1090 1345 2180 2690 2725 5380 5450 6725 10900 13450 13625 26900 27250 29321 33625 54500 58642 67250 117284 134500 146605 293210 586420 733025 1466050 2932100 3665125 7330250 14660500