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3990996 = 2232591879
BaseRepresentation
bin1111001110010111010100
321111202121200
433032113110
52010202441
6221312500
745631362
oct17162724
97452550
103990996
112286549
121405730
13a99749
1475c632
1553c7b6
hex3ce5d4

3990996 has 36 divisors (see below), whose sum is σ = 10264800. Its totient is φ = 1307088.

The previous prime is 3990979. The next prime is 3990997. The reversal of 3990996 is 6990993.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3990997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1185 + ... + 3063.

Almost surely, 23990996 is an apocalyptic number.

3990996 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3990996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5132400).

3990996 is an abundant number, since it is smaller than the sum of its proper divisors (6273804).

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

3990996 is a wasteful number, since it uses less digits than its factorization.

3990996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 118098, while the sum is 45.

The square root of 3990996 is about 1997.7477318220. The cubic root of 3990996 is about 158.6209077219.

The spelling of 3990996 in words is "three million, nine hundred ninety thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 1879 2124 3758 5637 7516 11274 16911 22548 33822 67644 110861 221722 332583 443444 665166 997749 1330332 1995498 3990996