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3980760 = 233572677
BaseRepresentation
bin1111001011110111011000
321111020120120
433023313120
52004341020
6221153240
745556500
oct17136730
97436516
103980760
112279893
1213bb820
13a94ba4
14758a00
15539740
hex3cbdd8

3980760 has 96 divisors (see below), whose sum is σ = 13912560. Its totient is φ = 908544.

The previous prime is 3980749. The next prime is 3980761. The reversal of 3980760 is 670893.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3980761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5542 + ... + 6218.

Almost surely, 23980760 is an apocalyptic number.

3980760 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 3980760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6956280).

3980760 is an abundant number, since it is smaller than the sum of its proper divisors (9931800).

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

3980760 is a wasteful number, since it uses less digits than its factorization.

3980760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 3980760 is about 1995.1842020225. The cubic root of 3980760 is about 158.4851827312.

The spelling of 3980760 in words is "three million, nine hundred eighty thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 677 735 840 980 1176 1354 1470 1960 2031 2708 2940 3385 4062 4739 5416 5880 6770 8124 9478 10155 13540 14217 16248 18956 20310 23695 27080 28434 33173 37912 40620 47390 56868 66346 71085 81240 94780 99519 113736 132692 142170 165865 189560 199038 265384 284340 331730 398076 497595 568680 663460 796152 995190 1326920 1990380 3980760