Search a number
-
+
134689000 = 23533672
BaseRepresentation
bin10000000011100…
…11000011101000
3100101102220120111
420001303003220
5233440022000
621210504104
73223560205
oct1001630350
9311386514
10134689000
116a034926
1239135034
1321b9ab44
1413c60cac
15bc57cba
hex80730e8

134689000 has 48 divisors (see below), whose sum is σ = 316033380. Its totient is φ = 53728800.

The previous prime is 134688979. The next prime is 134689003. The reversal of 134689000 is 986431.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 91049764 + 43639236 = 9542^2 + 6606^2 .

It is a super-2 number, since 2×1346890002 = 36282253442000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (134689003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 366817 + ... + 367183.

Almost surely, 2134689000 is an apocalyptic number.

134689000 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 134689000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158016690).

134689000 is an abundant number, since it is smaller than the sum of its proper divisors (181344380).

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

134689000 is an frugal number, since it uses more digits than its factorization.

134689000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 134689000 is about 11605.5590128180. The cubic root of 134689000 is about 512.5985533255.

The spelling of 134689000 in words is "one hundred thirty-four million, six hundred eighty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 367 500 734 1000 1468 1835 2936 3670 7340 9175 14680 18350 36700 45875 73400 91750 134689 183500 269378 367000 538756 673445 1077512 1346890 2693780 3367225 5387560 6734450 13468900 16836125 26937800 33672250 67344500 134689000