Search a number
-
+
3012204160 = 27571739551
BaseRepresentation
bin1011001110001010…
…1001011010000000
321202220222211022001
42303202221122000
522132111013120
61214521553344
7134434212220
oct26342513200
97686884261
103012204160
111306346629
12700945854
13390098434
142080a2080
151296a4e0a
hexb38a9680

3012204160 has 128 divisors (see below), whose sum is σ = 8714096640. Its totient is φ = 971980800.

The previous prime is 3012204133. The next prime is 3012204163. The reversal of 3012204160 is 614022103.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (3012204163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56385 + ... + 95935.

It is an arithmetic number, because the mean of its divisors is an integer number (68078880).

Almost surely, 23012204160 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 3012204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4357048320).

3012204160 is an abundant number, since it is smaller than the sum of its proper divisors (5701892480).

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

3012204160 is a wasteful number, since it uses less digits than its factorization.

3012204160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39594 (or 39582 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 3012204160 is about 54883.5509055309. The cubic root of 3012204160 is about 1444.2026403564.

Adding to 3012204160 its reverse (614022103), we get a palindrome (3626226263).

The spelling of 3012204160 in words is "three billion, twelve million, two hundred four thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 128 136 140 160 170 224 238 272 280 320 340 448 476 544 560 595 640 680 896 952 1088 1120 1190 1360 1904 2176 2240 2380 2720 3808 4480 4760 5440 7616 9520 10880 15232 19040 38080 39551 76160 79102 158204 197755 276857 316408 395510 553714 632816 672367 791020 1107428 1265632 1344734 1384285 1582040 2214856 2531264 2689468 2768570 3164080 3361835 4429712 4706569 5062528 5378936 5537140 6328160 6723670 8859424 9413138 10757872 11074280 12656320 13447340 17718848 18826276 21515744 22148560 23532845 25312640 26894680 35437696 37652552 43031488 44297120 47065690 53789360 75305104 86062976 88594240 94131380 107578720 150610208 177188480 188262760 215157440 301220416 376525520 430314880 602440832 753051040 1506102080 3012204160