Search a number
-
+
134086400 = 285274173
BaseRepresentation
bin1111111110111…
…11111100000000
3100100022021221222
413333133330000
5233311231100
621145534212
73215500310
oct777377400
9310267858
10134086400
1169763108
1238aa4368
1321a19786
1413b45440
15bb89485
hex7fdff00

134086400 has 216 divisors, whose sum is σ = 393870624. Its totient is φ = 44236800.

The previous prime is 134086391. The next prime is 134086423. The reversal of 134086400 is 4680431.

It is a self number, because there is not a number n which added to its sum of digits gives 134086400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1836764 + ... + 1836836.

Almost surely, 2134086400 is an apocalyptic number.

134086400 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 134086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196935312).

134086400 is an abundant number, since it is smaller than the sum of its proper divisors (259784224).

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

134086400 is an equidigital number, since it uses as much as digits as its factorization.

134086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 134086400 is about 11579.5682130207. The cubic root of 134086400 is about 511.8329533173.

The spelling of 134086400 in words is "one hundred thirty-four million, eighty-six thousand, four hundred".