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66926000 = 2453109307
BaseRepresentation
bin1111111101001…
…1010110110000
311122221012012202
43333103112300
5114113113000
610350242332
71441601351
oct377232660
9148835182
1066926000
1134861549
121a4b63a8
1310b335ab
148c61d28
155d1edd5
hex3fd35b0

66926000 has 80 divisors (see below), whose sum is σ = 163843680. Its totient is φ = 26438400.

The previous prime is 66925987. The next prime is 66926003. The reversal of 66926000 is 62966.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66926003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217847 + ... + 218153.

It is an arithmetic number, because the mean of its divisors is an integer number (2048046).

Almost surely, 266926000 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 66926000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81921840).

66926000 is an abundant number, since it is smaller than the sum of its proper divisors (96917680).

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

66926000 is a wasteful number, since it uses less digits than its factorization.

66926000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 66926000 is about 8180.8312536074. The cubic root of 66926000 is about 406.0052253285.

Adding to 66926000 its reverse (62966), we get a palindrome (66988966).

The spelling of 66926000 in words is "sixty-six million, nine hundred twenty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 109 125 200 218 250 307 400 436 500 545 614 872 1000 1090 1228 1535 1744 2000 2180 2456 2725 3070 4360 4912 5450 6140 7675 8720 10900 12280 13625 15350 21800 24560 27250 30700 33463 38375 43600 54500 61400 66926 76750 109000 122800 133852 153500 167315 218000 267704 307000 334630 535408 614000 669260 836575 1338520 1673150 2677040 3346300 4182875 6692600 8365750 13385200 16731500 33463000 66926000