Search a number
-
+
66895000 = 235417787
BaseRepresentation
bin1111111100101…
…1110010011000
311122212121200121
43333023302120
5114111120000
610345443024
71441412104
oct377136230
9148777617
1066895000
1134840227
121a4a0474
1310b22453
148c54904
155d15b1a
hex3fcbc98

66895000 has 80 divisors (see below), whose sum is σ = 166165560. Its totient is φ = 25152000.

The previous prime is 66894977. The next prime is 66895021. The reversal of 66895000 is 59866.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 84607 + ... + 85393.

Almost surely, 266895000 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 66895000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83082780).

66895000 is an abundant number, since it is smaller than the sum of its proper divisors (99270560).

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

66895000 is a wasteful number, since it uses less digits than its factorization.

66895000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 66895000 is about 8178.9363611658. The cubic root of 66895000 is about 405.9425286895.

The spelling of 66895000 in words is "sixty-six million, eight hundred ninety-five thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 625 680 787 850 1000 1250 1574 1700 2125 2500 3148 3400 3935 4250 5000 6296 7870 8500 10625 13379 15740 17000 19675 21250 26758 31480 39350 42500 53516 66895 78700 85000 98375 107032 133790 157400 196750 267580 334475 393500 491875 535160 668950 787000 983750 1337900 1672375 1967500 2675800 3344750 3935000 6689500 8361875 13379000 16723750 33447500 66895000