Search a number
-
+
3965670 = 2325139317
BaseRepresentation
bin1111001000001011100110
321110110212200
433020023212
52003400140
6220555330
745464502
oct17101346
97413780
103965670
112269515
1213b2b46
13a8b067
14753302
15535030
hex3c82e6

3965670 has 48 divisors (see below), whose sum is σ = 10417680. Its totient is φ = 1046592.

The previous prime is 3965659. The next prime is 3965681. The reversal of 3965670 is 765693.

It is a happy number.

3965670 is a `hidden beast` number, since 3 + 96 + 567 + 0 = 666.

3965670 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3965659) and next prime (3965681).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12352 + ... + 12668.

It is an arithmetic number, because the mean of its divisors is an integer number (217035).

Almost surely, 23965670 is an apocalyptic number.

3965670 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3965670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5208840).

3965670 is an abundant number, since it is smaller than the sum of its proper divisors (6452010).

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

3965670 is a wasteful number, since it uses less digits than its factorization.

3965670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 3965670 is about 1991.3990057244. The cubic root of 3965670 is about 158.2846707949.

The spelling of 3965670 in words is "three million, nine hundred sixty-five thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 139 278 317 417 634 695 834 951 1251 1390 1585 1902 2085 2502 2853 3170 4170 4755 5706 6255 9510 12510 14265 28530 44063 88126 132189 220315 264378 396567 440630 660945 793134 1321890 1982835 3965670