[go: up one dir, main page]

Search a number
-
+
4075080 = 2335291171
BaseRepresentation
bin1111100010111001001000
321200000221220
433202321020
52020400310
6223202040
746431462
oct17427110
97600856
104075080
112333739
121446320
13ac8ab9
14781132
15557670
hex3e2e48

4075080 has 64 divisors (see below), whose sum is σ = 12657600. Its totient is φ = 1048320.

The previous prime is 4075073. The next prime is 4075091. The reversal of 4075080 is 805704.

4075080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4075080.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2895 + ... + 4065.

It is an arithmetic number, because the mean of its divisors is an integer number (197775).

Almost surely, 24075080 is an apocalyptic number.

4075080 is a gapful number since it is divisible by the number (40) 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 4075080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6328800).

4075080 is an abundant number, since it is smaller than the sum of its proper divisors (8582520).

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

4075080 is a wasteful number, since it uses less digits than its factorization.

4075080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 4075080 is about 2018.6827388176. The cubic root of 4075080 is about 159.7271390995.

The spelling of 4075080 in words is "four million, seventy-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1171 1740 2342 3480 3513 4684 5855 7026 9368 11710 14052 17565 23420 28104 33959 35130 46840 67918 70260 101877 135836 140520 169795 203754 271672 339590 407508 509385 679180 815016 1018770 1358360 2037540 4075080