Search a number
-
+
3142720 = 26572361
BaseRepresentation
bin1011111111010001000000
312220200000001
423333101000
51301031340
6151205344
735466310
oct13772100
95820001
103142720
111857199
121076854
138605c9
145bb440
1542129a
hex2ff440

3142720 has 112 divisors (see below), whose sum is σ = 9070848. Its totient is φ = 1013760.

The previous prime is 3142717. The next prime is 3142721. The reversal of 3142720 is 272413.

3142720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (3142721) 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 15 ways as a sum of consecutive naturals, for example, 51490 + ... + 51550.

Almost surely, 23142720 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 3142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4535424).

3142720 is an abundant number, since it is smaller than the sum of its proper divisors (5928128).

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

3142720 is a wasteful number, since it uses less digits than its factorization.

3142720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 3142720 is about 1772.7718409316. The cubic root of 3142720 is about 146.4767054017.

The spelling of 3142720 in words is "three million, one hundred forty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 61 64 70 80 92 112 115 122 140 160 161 184 224 230 244 280 305 320 322 368 427 448 460 488 560 610 644 736 805 854 920 976 1120 1220 1288 1403 1472 1610 1708 1840 1952 2135 2240 2440 2576 2806 3220 3416 3680 3904 4270 4880 5152 5612 6440 6832 7015 7360 8540 9760 9821 10304 11224 12880 13664 14030 17080 19520 19642 22448 25760 27328 28060 34160 39284 44896 49105 51520 56120 68320 78568 89792 98210 112240 136640 157136 196420 224480 314272 392840 448960 628544 785680 1571360 3142720