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3930066 = 233737281
BaseRepresentation
bin1110111111011111010010
321101200001000
432333133102
52001230231
6220122430
745255630
oct16773722
97350030
103930066
112244798
121396416
13a77aaa
14744350
155296e6
hex3bf7d2

3930066 has 64 divisors (see below), whose sum is σ = 10287360. Its totient is φ = 1088640.

The previous prime is 3930061. The next prime is 3930139. The reversal of 3930066 is 6600393.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3930061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13846 + ... + 14126.

It is an arithmetic number, because the mean of its divisors is an integer number (160740).

Almost surely, 23930066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3930066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5143680).

3930066 is an abundant number, since it is smaller than the sum of its proper divisors (6357294).

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

3930066 is a wasteful number, since it uses less digits than its factorization.

3930066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 3930066 is about 1982.4394063880. The cubic root of 3930066 is about 157.8095499432.

The spelling of 3930066 in words is "three million, nine hundred thirty thousand, sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 111 126 189 222 259 281 333 378 518 562 666 777 843 999 1554 1686 1967 1998 2331 2529 3934 4662 5058 5901 6993 7587 10397 11802 13986 15174 17703 20794 31191 35406 53109 62382 72779 93573 106218 145558 187146 218337 280719 436674 561438 655011 1310022 1965033 3930066