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69134000 = 2453132659
BaseRepresentation
bin1000001111011…
…10011010110000
311211002101000112
410013232122300
5120144242000
610505440452
71466425565
oct407563260
9154071015
1069134000
113602a441
121b1a0128
13114275c0
14927886c
156109235
hex41ee6b0

69134000 has 80 divisors (see below), whose sum is σ = 180092640. Its totient is φ = 25516800.

The previous prime is 69133979. The next prime is 69134003. The reversal of 69134000 is 43196.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (69134003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 24671 + ... + 27329.

It is an arithmetic number, because the mean of its divisors is an integer number (2251158).

Almost surely, 269134000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90046320).

69134000 is an abundant number, since it is smaller than the sum of its proper divisors (110958640).

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

69134000 is a wasteful number, since it uses less digits than its factorization.

69134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695 (or 2679 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 69134000 is about 8314.6858028431. The cubic root of 69134000 is about 410.4219332755.

Adding to 69134000 its reverse (43196), we get a palindrome (69177196).

The spelling of 69134000 in words is "sixty-nine million, one hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2600 2659 3250 5200 5318 6500 10636 13000 13295 21272 26000 26590 34567 42544 53180 66475 69134 106360 132950 138268 172835 212720 265900 276536 332375 345670 531800 553072 664750 691340 864175 1063600 1329500 1382680 1728350 2659000 2765360 3456700 4320875 5318000 6913400 8641750 13826800 17283500 34567000 69134000