Search a number
-
+
3974120 = 235731361
BaseRepresentation
bin1111001010001111101000
321110220110122
433022033220
52004132440
6221102412
745531233
oct17121750
97426418
103974120
1122748a7
1213b7a08
13a91b67
1475641a
155377b5
hex3ca3e8

3974120 has 32 divisors (see below), whose sum is σ = 9070920. Its totient is φ = 1566720.

The previous prime is 3974093. The next prime is 3974129. The reversal of 3974120 is 214793.

It can be written as a sum of positive squares in 4 ways, for example, as 2669956 + 1304164 = 1634^2 + 1142^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3974120.

It is not an unprimeable number, because it can be changed into a prime (3974129) 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, 2240 + ... + 3600.

Almost surely, 23974120 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 3974120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4535460).

3974120 is an abundant number, since it is smaller than the sum of its proper divisors (5096800).

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

3974120 is a wasteful number, since it uses less digits than its factorization.

3974120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 3974120 is about 1993.5195007825. The cubic root of 3974120 is about 158.3970147041.

The spelling of 3974120 in words is "three million, nine hundred seventy-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1361 1460 2722 2920 5444 6805 10888 13610 27220 54440 99353 198706 397412 496765 794824 993530 1987060 3974120