Search a number
-
+
3982720 = 27572127
BaseRepresentation
bin1111001100010110000000
321111100021011
433030112000
52004421340
6221210304
745565300
oct17142600
97440234
103982720
112280305
121400994
13a95a51
14759600
1553a0ea
hex3cc580

3982720 has 96 divisors (see below), whose sum is σ = 11162880. Its totient is φ = 1354752.

The previous prime is 3982697. The next prime is 3982721. The reversal of 3982720 is 272893.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3982721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31297 + ... + 31423.

It is an arithmetic number, because the mean of its divisors is an integer number (116280).

Almost surely, 23982720 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 3982720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5581440).

3982720 is an abundant number, since it is smaller than the sum of its proper divisors (7180160).

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

3982720 is a wasteful number, since it uses less digits than its factorization.

3982720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 3982720 is about 1995.6753242950. The cubic root of 3982720 is about 158.5111894896.

The spelling of 3982720 in words is "three million, nine hundred eighty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 127 128 140 160 196 224 245 254 280 320 392 448 490 508 560 635 640 784 889 896 980 1016 1120 1270 1568 1778 1960 2032 2240 2540 3136 3556 3920 4064 4445 4480 5080 6223 6272 7112 7840 8128 8890 10160 12446 14224 15680 16256 17780 20320 24892 28448 31115 31360 35560 40640 49784 56896 62230 71120 81280 99568 113792 124460 142240 199136 248920 284480 398272 497840 568960 796544 995680 1991360 3982720