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134736030 = 2325111319229
BaseRepresentation
bin10000000011111…
…10100010011110
3100101112022002100
420001332202132
5233443023110
621211505530
73224144262
oct1001764236
9311468070
10134736030
116a0671a0
12391582a6
1321bb6380
1413c740a2
15bc66bc0
hex807e89e

134736030 has 288 divisors, whose sum is σ = 449336160. Its totient is φ = 27578880.

The previous prime is 134736029. The next prime is 134736053. The reversal of 134736030 is 30637431.

It is a happy number.

134736030 is a `hidden beast` number, since 13 + 47 + 3 + 603 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 134735985 and 134736003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4646056 + ... + 4646084.

It is an arithmetic number, because the mean of its divisors is an integer number (1560195).

Almost surely, 2134736030 is an apocalyptic number.

134736030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134736030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224668080).

134736030 is an abundant number, since it is smaller than the sum of its proper divisors (314600130).

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

134736030 is a wasteful number, since it uses less digits than its factorization.

134736030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 134736030 is about 11607.5850201495. The cubic root of 134736030 is about 512.6582085425.

It can be divided in two parts, 13473 and 6030, that added together give a triangular number (19503 = T197).

The spelling of 134736030 in words is "one hundred thirty-four million, seven hundred thirty-six thousand, thirty".