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14785000 = 23542957
BaseRepresentation
bin111000011001…
…100111101000
31000211011012121
4320121213220
512241110000
61244521024
7236445646
oct70314750
930734177
1014785000
11838920a
124b50174
1330a8829
141d6c196
151470b1a
hexe199e8

14785000 has 40 divisors (see below), whose sum is σ = 34652970. Its totient is φ = 5912000.

The previous prime is 14784977. The next prime is 14785027. The reversal of 14785000 is 58741.

14785000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 54756 + 14730244 = 234^2 + 3838^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3522 + ... + 6478.

Almost surely, 214785000 is an apocalyptic number.

14785000 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 14785000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17326485).

14785000 is an abundant number, since it is smaller than the sum of its proper divisors (19867970).

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

14785000 is an equidigital number, since it uses as much as digits as its factorization.

14785000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2983 (or 2964 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 14785000 is about 3845.1267859461. The cubic root of 14785000 is about 245.4372311851.

The spelling of 14785000 in words is "fourteen million, seven hundred eighty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 2957 5000 5914 11828 14785 23656 29570 59140 73925 118280 147850 295700 369625 591400 739250 1478500 1848125 2957000 3696250 7392500 14785000