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66963150 = 23252672221
BaseRepresentation
bin1111111101110…
…0011011001110
311200000002011200
43333130123032
5114120310100
610351130330
71442114562
oct377343316
9150002150
1066963150
1134887451
121a5139a6
1310b47487
148c716a2
155d2ae00
hex3fdc6ce

66963150 has 72 divisors (see below), whose sum is σ = 182675064. Its totient is φ = 17582400.

The previous prime is 66963137. The next prime is 66963151. The reversal of 66963150 is 5136966.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66963151) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29040 + ... + 31260.

Almost surely, 266963150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66963150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91337532).

66963150 is an abundant number, since it is smaller than the sum of its proper divisors (115711914).

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

66963150 is a wasteful number, since it uses less digits than its factorization.

66963150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2306 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 66963150 is about 8183.1014902664. The cubic root of 66963150 is about 406.0803346739.

The spelling of 66963150 in words is "sixty-six million, nine hundred sixty-three thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 67 75 90 134 150 201 225 335 402 450 603 670 1005 1206 1675 2010 2221 3015 3350 4442 5025 6030 6663 10050 11105 13326 15075 19989 22210 30150 33315 39978 55525 66630 99945 111050 148807 166575 199890 297614 333150 446421 499725 744035 892842 999450 1339263 1488070 2232105 2678526 3720175 4464210 6696315 7440350 11160525 13392630 22321050 33481575 66963150