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134827350 = 23527731759
BaseRepresentation
bin10000000100101…
…00110101010110
3100101200221100120
420002110311112
5234003433400
621213452410
73225004440
oct1002246526
9311627316
10134827350
116a119869
12391a1106
1321c18ac8
1413c99490
15bc83ca0
hex8094d56

134827350 has 96 divisors (see below), whose sum is σ = 387594240. Its totient is φ = 30378240.

The previous prime is 134827337. The next prime is 134827369. The reversal of 134827350 is 53728431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75771 + ... + 77529.

It is an arithmetic number, because the mean of its divisors is an integer number (4037440).

Almost surely, 2134827350 is an apocalyptic number.

134827350 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 134827350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193797120).

134827350 is an abundant number, since it is smaller than the sum of its proper divisors (252766890).

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

134827350 is a wasteful number, since it uses less digits than its factorization.

134827350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 134827350 is about 11611.5179886180. The cubic root of 134827350 is about 512.7740037874.

The spelling of 134827350 in words is "one hundred thirty-four million, eight hundred twenty-seven thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 73 75 105 146 150 175 210 219 350 365 438 511 525 730 1022 1050 1095 1533 1759 1825 2190 2555 3066 3518 3650 5110 5277 5475 7665 8795 10554 10950 12313 12775 15330 17590 24626 25550 26385 36939 38325 43975 52770 61565 73878 76650 87950 123130 128407 131925 184695 256814 263850 307825 369390 385221 615650 642035 770442 898849 923475 1284070 1797698 1846950 1926105 2696547 3210175 3852210 4494245 5393094 6420350 8988490 9630525 13482735 19261050 22471225 26965470 44942450 67413675 134827350