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3840060 = 2235741223
BaseRepresentation
bin1110101001100000111100
321020002120110
432221200330
51440340220
6214150020
744432340
oct16514074
97202513
103840060
112193104
121352310
13a45b33
1471d620
1550cbe0
hex3a983c

3840060 has 96 divisors (see below), whose sum is σ = 12644352. Its totient is φ = 852480.

The previous prime is 3840059. The next prime is 3840061. The reversal of 3840060 is 600483.

3840060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3840059) and next prime (3840061).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3840061) 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 31 ways as a sum of consecutive naturals, for example, 17109 + ... + 17331.

It is an arithmetic number, because the mean of its divisors is an integer number (131712).

Almost surely, 23840060 is an apocalyptic number.

3840060 is a gapful number since it is divisible by the number (30) 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 3840060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6322176).

3840060 is an abundant number, since it is smaller than the sum of its proper divisors (8804292).

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

3840060 is a wasteful number, since it uses less digits than its factorization.

3840060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3840060 is about 1959.6071034776. The cubic root of 3840060 is about 156.5955212399.

The spelling of 3840060 in words is "three million, eight hundred forty thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 41 42 60 70 82 84 105 123 140 164 205 210 223 246 287 410 420 446 492 574 615 669 820 861 892 1115 1148 1230 1338 1435 1561 1722 2230 2460 2676 2870 3122 3345 3444 4305 4460 4683 5740 6244 6690 7805 8610 9143 9366 13380 15610 17220 18286 18732 23415 27429 31220 36572 45715 46830 54858 64001 91430 93660 109716 128002 137145 182860 192003 256004 274290 320005 384006 548580 640010 768012 960015 1280020 1920030 3840060