Search a number
-
+
4087470 = 2351971101
BaseRepresentation
bin1111100101111010101110
321200122221210
433211322232
52021244340
6223335250
746512552
oct17457256
97618853
104087470
112341a82
121451526
13b0162a
14785862
1555b180
hex3e5eae

4087470 has 64 divisors (see below), whose sum is σ = 10575360. Its totient is φ = 1008000.

The previous prime is 4087453. The next prime is 4087477. The reversal of 4087470 is 747804.

It is a super-2 number, since 2×40874702 = 33414822001800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4087477) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40420 + ... + 40520.

It is an arithmetic number, because the mean of its divisors is an integer number (165240).

Almost surely, 24087470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4087470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5287680).

4087470 is an abundant number, since it is smaller than the sum of its proper divisors (6487890).

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

4087470 is a wasteful number, since it uses less digits than its factorization.

4087470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201.

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 4087470 is about 2021.7492426115. The cubic root of 4087470 is about 159.8888551021. Note that the first 4 decimals are identical.

The spelling of 4087470 in words is "four million, eighty-seven thousand, four hundred seventy".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 71 95 101 114 142 190 202 213 285 303 355 426 505 570 606 710 1010 1065 1349 1515 1919 2130 2698 3030 3838 4047 5757 6745 7171 8094 9595 11514 13490 14342 19190 20235 21513 28785 35855 40470 43026 57570 71710 107565 136249 215130 272498 408747 681245 817494 1362490 2043735 4087470