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4028680 = 2352329151
BaseRepresentation
bin1111010111100100001000
321120200022101
433113210020
52012404210
6222203144
746146265
oct17274410
97520271
104028680
112301897
1214234b4
13ab0946
1476c26c
15548a3a
hex3d7908

4028680 has 64 divisors (see below), whose sum is σ = 9849600. Its totient is φ = 1478400.

The previous prime is 4028663. The next prime is 4028681. The reversal of 4028680 is 868204.

4028680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4028681) by changing a digit.

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, 26605 + ... + 26755.

It is an arithmetic number, because the mean of its divisors is an integer number (153900).

Almost surely, 24028680 is an apocalyptic number.

4028680 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 4028680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4924800).

4028680 is an abundant number, since it is smaller than the sum of its proper divisors (5820920).

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

4028680 is a wasteful number, since it uses less digits than its factorization.

4028680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 4028680 is about 2007.1571936448. The cubic root of 4028680 is about 159.1185909036.

The spelling of 4028680 in words is "four million, twenty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 23 29 40 46 58 92 115 116 145 151 184 230 232 290 302 460 580 604 667 755 920 1160 1208 1334 1510 2668 3020 3335 3473 4379 5336 6040 6670 6946 8758 13340 13892 17365 17516 21895 26680 27784 34730 35032 43790 69460 87580 100717 138920 175160 201434 402868 503585 805736 1007170 2014340 4028680