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134649936 = 24326115329
BaseRepresentation
bin10000000011010…
…01100001010000
3100101100220222200
420001221201100
5233432244221
621210003200
73223335261
oct1001514120
9311326880
10134649936
116a008543
1239116500
1321b86125
1413c50968
15bc4b426
hex8069850

134649936 has 60 divisors (see below), whose sum is σ = 383035380. Its totient is φ = 44144640.

The previous prime is 134649917. The next prime is 134649937. The reversal of 134649936 is 639946431.

It can be written as a sum of positive squares in 2 ways, for example, as 7952400 + 126697536 = 2820^2 + 11256^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 134649891 and 134649900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134649937) 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, 1120 + ... + 16448.

It is an arithmetic number, because the mean of its divisors is an integer number (6383923).

Almost surely, 2134649936 is an apocalyptic number.

134649936 is a gapful number since it is divisible by the number (16) 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 134649936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191517690).

134649936 is an abundant number, since it is smaller than the sum of its proper divisors (248385444).

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

134649936 is a wasteful number, since it uses less digits than its factorization.

134649936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15404 (or 15395 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 134649936 is about 11603.8759041968. The cubic root of 134649936 is about 512.5489920248.

The spelling of 134649936 in words is "one hundred thirty-four million, six hundred forty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1098 1464 2196 2928 4392 8784 15329 30658 45987 61316 91974 122632 137961 183948 245264 275922 367896 551844 735792 935069 1103688 1870138 2207376 2805207 3740276 5610414 7480552 8415621 11220828 14961104 16831242 22441656 33662484 44883312 67324968 134649936