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3969280 = 2857443
BaseRepresentation
bin1111001001000100000000
321110122211101
433021010000
52004004110
6221024144
745511150
oct17110400
97418741
103969280
1122711a7
1213b5054
13a8c8b3
14754760
1553613a
hex3c9100

3969280 has 72 divisors (see below), whose sum is σ = 10890432. Its totient is φ = 1357824.

The previous prime is 3969269. The next prime is 3969289. The reversal of 3969280 is 829693.

It is not an unprimeable number, because it can be changed into a prime (3969289) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8739 + ... + 9181.

It is an arithmetic number, because the mean of its divisors is an integer number (151256).

Almost surely, 23969280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3969280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5445216).

3969280 is an abundant number, since it is smaller than the sum of its proper divisors (6921152).

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

3969280 is an equidigital number, since it uses as much as digits as its factorization.

3969280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 3969280 is about 1992.3051975036. The cubic root of 3969280 is about 158.3326857468.

The spelling of 3969280 in words is "three million, nine hundred sixty-nine thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 443 448 560 640 886 896 1120 1280 1772 1792 2215 2240 3101 3544 4430 4480 6202 7088 8860 8960 12404 14176 15505 17720 24808 28352 31010 35440 49616 56704 62020 70880 99232 113408 124040 141760 198464 248080 283520 396928 496160 567040 793856 992320 1984640 3969280