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3965076 = 2232831327
BaseRepresentation
bin1111001000000010010100
321110110001200
433020002110
52003340301
6220552500
745462663
oct17100224
97413050
103965076
112269025
1213b2730
13a8a9cb
14752dda
15534c86
hex3c8094

3965076 has 36 divisors (see below), whose sum is σ = 10151232. Its totient is φ = 1304784.

The previous prime is 3965041. The next prime is 3965123. The reversal of 3965076 is 6705693.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3965076.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2325 + ... + 3651.

Almost surely, 23965076 is an apocalyptic number.

3965076 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3965076 is the 996-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3965076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5075616).

3965076 is an abundant number, since it is smaller than the sum of its proper divisors (6186156).

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

3965076 is a wasteful number, since it uses less digits than its factorization.

3965076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1415 counting only the distinct ones).

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

The square root of 3965076 is about 1991.2498587571. The cubic root of 3965076 is about 158.2767674823.

The spelling of 3965076 in words is "three million, nine hundred sixty-five thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 747 996 1327 1494 2654 2988 3981 5308 7962 11943 15924 23886 47772 110141 220282 330423 440564 660846 991269 1321692 1982538 3965076