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134626600 = 2352739221
BaseRepresentation
bin10000000011000…
…11110100101000
3100101022201222101
420001203310220
5233431022400
621205303144
73223210243
oct1001436450
9311281871
10134626600
1169aa1a59
1239104ab4
1321b78614
1413c4625a
15bc4456a
hex8063d28

134626600 has 48 divisors (see below), whose sum is σ = 317329020. Its totient is φ = 53107200.

The previous prime is 134626543. The next prime is 134626603. The reversal of 134626600 is 6626431.

134626600 is digitally balanced in base 3, 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 85710564 + 48916036 = 9258^2 + 6994^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134626603) 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, 9990 + ... + 19210.

Almost surely, 2134626600 is an apocalyptic number.

134626600 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 134626600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158664510).

134626600 is an abundant number, since it is smaller than the sum of its proper divisors (182702420).

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

134626600 is a wasteful number, since it uses less digits than its factorization.

134626600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9310 (or 9301 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 134626600 is about 11602.8703345336. The cubic root of 134626600 is about 512.5193805877.

The spelling of 134626600 in words is "one hundred thirty-four million, six hundred twenty-six thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 365 584 730 1460 1825 2920 3650 7300 9221 14600 18442 36884 46105 73768 92210 184420 230525 368840 461050 673133 922100 1346266 1844200 2692532 3365665 5385064 6731330 13462660 16828325 26925320 33656650 67313300 134626600