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3965130 = 2325133389
BaseRepresentation
bin1111001000000011001010
321110110010200
433020003022
52003341010
6220553030
745463101
oct17100312
97413120
103965130
112269074
1213b2776
13a8aa40
14753038
15534cc0
hex3c80ca

3965130 has 48 divisors (see below), whose sum is σ = 11105640. Its totient is φ = 975744.

The previous prime is 3965123. The next prime is 3965147. The reversal of 3965130 is 315693.

3965130 is a `hidden beast` number, since 3 + 9 + 651 + 3 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3493161 + 471969 = 1869^2 + 687^2 .

It is a super-3 number, since 3×39651303 (a number of 21 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3965094 and 3965103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 525 + ... + 2864.

Almost surely, 23965130 is an apocalyptic number.

3965130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3965130 is an abundant number, since it is smaller than the sum of its proper divisors (7140510).

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

3965130 is a wasteful number, since it uses less digits than its factorization.

3965130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3415 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 3965130 is about 1991.2634180339. The cubic root of 3965130 is about 158.2774859979.

It can be divided in two parts, 3965 and 130, that added together give a triangular number (4095 = T90).

The spelling of 3965130 in words is "three million, nine hundred sixty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 3389 6778 10167 16945 20334 30501 33890 44057 50835 61002 88114 101670 132171 152505 220285 264342 305010 396513 440570 660855 793026 1321710 1982565 3965130