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13448500 = 2253132069
BaseRepresentation
bin110011010011…
…010100110100
3221022020212121
4303103110310
511420323000
61200125324
7222211312
oct63232464
927266777
1013448500
11765606a
124606844
132a2b3c0
141b010b2
1512a9b1a
hexcd3534

13448500 has 48 divisors (see below), whose sum is σ = 31646160. Its totient is φ = 4963200.

The previous prime is 13448497. The next prime is 13448521. The reversal of 13448500 is 584431.

13448500 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 8 ways, for example, as 9400356 + 4048144 = 3066^2 + 2012^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5466 + ... + 7534.

It is an arithmetic number, because the mean of its divisors is an integer number (659295).

Almost surely, 213448500 is an apocalyptic number.

13448500 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 13448500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15823080).

13448500 is an abundant number, since it is smaller than the sum of its proper divisors (18197660).

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

13448500 is a wasteful number, since it uses less digits than its factorization.

13448500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2101 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 13448500 is about 3667.2196552702. The cubic root of 13448500 is about 237.8069899055.

The spelling of 13448500 in words is "thirteen million, four hundred forty-eight thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 650 1300 1625 2069 3250 4138 6500 8276 10345 20690 26897 41380 51725 53794 103450 107588 134485 206900 258625 268970 517250 537940 672425 1034500 1344850 2689700 3362125 6724250 13448500