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4018020 = 2235167401
BaseRepresentation
bin1111010100111101100100
321120010200120
433110331210
52012034040
6222041540
746103226
oct17247544
97503616
104018020
1122a4886
1214192b0
13aa8b36
14768416
155457d0
hex3d4f64

4018020 has 48 divisors (see below), whose sum is σ = 11346048. Its totient is φ = 1062400.

The previous prime is 4017997. The next prime is 4018039. The reversal of 4018020 is 208104.

It is a super-2 number, since 2×40180202 = 32288969440800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9820 + ... + 10220.

It is an arithmetic number, because the mean of its divisors is an integer number (236376).

Almost surely, 24018020 is an apocalyptic number.

It is a pronic number, being equal to 2004×2005.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4018020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5673024).

4018020 is an abundant number, since it is smaller than the sum of its proper divisors (7328028).

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

4018020 is a wasteful number, since it uses less digits than its factorization.

4018020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 4018020 is about 2004.4999376403. The cubic root of 4018020 is about 158.9781228553.

The spelling of 4018020 in words is "four million, eighteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 167 334 401 501 668 802 835 1002 1203 1604 1670 2004 2005 2406 2505 3340 4010 4812 5010 6015 8020 10020 12030 24060 66967 133934 200901 267868 334835 401802 669670 803604 1004505 1339340 2009010 4018020