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3970260 = 22325723137
BaseRepresentation
bin1111001001010011010100
321110201011200
433021103110
52004022020
6221032500
745514050
oct17112324
97421150
103970260
112271a08
1213b5730
13a90188
14754c60
15536590
hex3c94d4

3970260 has 144 divisors (see below), whose sum is σ = 14466816. Its totient is φ = 861696.

The previous prime is 3970247. The next prime is 3970261. The reversal of 3970260 is 620793.

3970260 = 702 + 712 + ... + 2302.

3970260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3970261) 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 47 ways as a sum of consecutive naturals, for example, 28912 + ... + 29048.

It is an arithmetic number, because the mean of its divisors is an integer number (100464).

Almost surely, 23970260 is an apocalyptic number.

3970260 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 3970260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7233408).

3970260 is an abundant number, since it is smaller than the sum of its proper divisors (10496556).

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

3970260 is a wasteful number, since it uses less digits than its factorization.

3970260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 3970260 is about 1992.5511285786. The cubic root of 3970260 is about 158.3457152521.

The spelling of 3970260 in words is "three million, nine hundred seventy thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 23 28 30 35 36 42 45 46 60 63 69 70 84 90 92 105 115 126 137 138 140 161 180 207 210 230 252 274 276 315 322 345 411 414 420 460 483 548 630 644 685 690 805 822 828 959 966 1035 1233 1260 1370 1380 1449 1610 1644 1918 1932 2055 2070 2415 2466 2740 2877 2898 3151 3220 3836 4110 4140 4795 4830 4932 5754 5796 6165 6302 7245 8220 8631 9453 9590 9660 11508 12330 12604 14385 14490 15755 17262 18906 19180 22057 24660 28359 28770 28980 31510 34524 37812 43155 44114 47265 56718 57540 63020 66171 86310 88228 94530 110285 113436 132342 141795 172620 189060 198513 220570 264684 283590 330855 397026 441140 567180 661710 794052 992565 1323420 1985130 3970260