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134410000 = 245413441
BaseRepresentation
bin10000000001011…
…10111100010000
3100100220201212011
420000232330100
5233402110000
621200512304
73221315614
oct1000567420
9310821764
10134410000
116996424a
123901b694
1321b00b5a
1413bcb344
15bc002ba
hex802ef10

134410000 has 50 divisors (see below), whose sum is σ = 325444262. Its totient is φ = 53760000.

The previous prime is 134409929. The next prime is 134410019. The reversal of 134410000 is 14431.

It can be written as a sum of positive squares in 5 ways, for example, as 79709184 + 54700816 = 8928^2 + 7396^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

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, 3280 + ... + 16720.

Almost surely, 2134410000 is an apocalyptic number.

134410000 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 134410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162722131).

134410000 is an abundant number, since it is smaller than the sum of its proper divisors (191034262).

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

134410000 is an equidigital number, since it uses as much as digits as its factorization.

134410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13469 (or 13448 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 134410000 is about 11593.5326799039. The cubic root of 134410000 is about 512.2443698383.

Adding to 134410000 its reverse (14431), we get a palindrome (134424431).

The spelling of 134410000 in words is "one hundred thirty-four million, four hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 13441 26882 53764 67205 107528 134410 215056 268820 336025 537640 672050 1075280 1344100 1680125 2688200 3360250 5376400 6720500 8400625 13441000 16801250 26882000 33602500 67205000 134410000