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14048900 = 2252373797
BaseRepresentation
bin110101100101…
…111010000100
3222102202110122
4311211322010
512044031100
61221041112
7230261615
oct65457204
928382418
1014048900
117a26168
124856198
132bab778
141c19c0c
151377985
hexd65e84

14048900 has 36 divisors (see below), whose sum is σ = 31318308. Its totient is φ = 5466240.

The previous prime is 14048899. The next prime is 14048927. The reversal of 14048900 is 984041.

14048900 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 6 ways, for example, as 857476 + 13191424 = 926^2 + 3632^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14048900.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1802 + ... + 5598.

It is an arithmetic number, because the mean of its divisors is an integer number (869953).

Almost surely, 214048900 is an apocalyptic number.

14048900 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 14048900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15659154).

14048900 is an abundant number, since it is smaller than the sum of its proper divisors (17269408).

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

14048900 is a wasteful number, since it uses less digits than its factorization.

14048900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3848 (or 3841 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 14048900 is about 3748.1862280308. The cubic root of 14048900 is about 241.2945097612.

The spelling of 14048900 in words is "fourteen million, forty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3700 3797 7594 15188 18985 37970 75940 94925 140489 189850 280978 379700 561956 702445 1404890 2809780 3512225 7024450 14048900