Search a number
-
+
3990768 = 243711171
BaseRepresentation
bin1111001110010011110000
321111202022020
433032103300
52010201033
6221311440
745630615
oct17162360
97452266
103990768
112286361
121405580
13a99602
1475c50c
1553c6b3
hex3ce4f0

3990768 has 40 divisors (see below), whose sum is σ = 10463616. Its totient is φ = 1310400.

The previous prime is 3990761. The next prime is 3990773. The reversal of 3990768 is 8670993.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3990761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2823 + ... + 3993.

Almost surely, 23990768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3990768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5231808).

3990768 is an abundant number, since it is smaller than the sum of its proper divisors (6472848).

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

3990768 is a wasteful number, since it uses less digits than its factorization.

3990768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 3990768 is about 1997.6906667450. The cubic root of 3990768 is about 158.6178870678.

The spelling of 3990768 in words is "three million, nine hundred ninety thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 852 1136 1171 1704 2342 3408 3513 4684 7026 9368 14052 18736 28104 56208 83141 166282 249423 332564 498846 665128 997692 1330256 1995384 3990768