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4267080 = 23355439
BaseRepresentation
bin10000010001110001001000
322000210100000
4100101301020
52043021310
6231243000
751161316
oct20216110
98023300
104267080
112454a14
121519460
13b652cc
147d10b6
155944c0
hex411c48

4267080 has 96 divisors (see below), whose sum is σ = 14414400. Its totient is φ = 1135296.

The previous prime is 4267079. The next prime is 4267091. The reversal of 4267080 is 807624.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9501 + ... + 9939.

It is an arithmetic number, because the mean of its divisors is an integer number (150150).

Almost surely, 24267080 is an apocalyptic number.

4267080 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 4267080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7207200).

4267080 is an abundant number, since it is smaller than the sum of its proper divisors (10147320).

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

4267080 is a wasteful number, since it uses less digits than its factorization.

4267080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4267080 is about 2065.6911676240. The cubic root of 4267080 is about 162.1972904979.

The spelling of 4267080 in words is "four million, two hundred sixty-seven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 439 486 540 648 810 878 972 1080 1215 1317 1620 1756 1944 2195 2430 2634 3240 3512 3951 4390 4860 5268 6585 7902 8780 9720 10536 11853 13170 15804 17560 19755 23706 26340 31608 35559 39510 47412 52680 59265 71118 79020 94824 106677 118530 142236 158040 177795 213354 237060 284472 355590 426708 474120 533385 711180 853416 1066770 1422360 2133540 4267080