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14765000 = 23542953
BaseRepresentation
bin111000010100…
…101111001000
31000210010202212
4320110233020
512234440000
61244244252
7236333435
oct70245710
930703685
1014765000
118375188
124b40688
13309c6b3
141d64b8c
151469c35
hexe14bc8

14765000 has 40 divisors (see below), whose sum is σ = 34606110. Its totient is φ = 5904000.

The previous prime is 14764999. The next prime is 14765017. The reversal of 14765000 is 56741.

It can be written as a sum of positive squares in 5 ways, for example, as 1119364 + 13645636 = 1058^2 + 3694^2 .

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

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 9 ways as a sum of consecutive naturals, for example, 3524 + ... + 6476.

Almost surely, 214765000 is an apocalyptic number.

14765000 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 14765000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17303055).

14765000 is an abundant number, since it is smaller than the sum of its proper divisors (19841110).

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

14765000 is an equidigital number, since it uses as much as digits as its factorization.

14765000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2979 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 14765000 is about 3842.5252113682. The cubic root of 14765000 is about 245.3265117695.

The spelling of 14765000 in words is "fourteen million, seven hundred sixty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 2953 5000 5906 11812 14765 23624 29530 59060 73825 118120 147650 295300 369125 590600 738250 1476500 1845625 2953000 3691250 7382500 14765000