Search a number
-
+
3146080 = 2557532
BaseRepresentation
bin1100000000000101100000
312220211121111
430000011200
51301133310
6151233104
735512150
oct14000540
95824544
103146080
111859773
121078794
13861cb2
145bc760
1542228a
hex300160

3146080 has 72 divisors (see below), whose sum is σ = 8657712. Its totient is φ = 1058304.

The previous prime is 3146069. The next prime is 3146089. The reversal of 3146080 is 806413.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3146089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59334 + ... + 59386.

It is an arithmetic number, because the mean of its divisors is an integer number (120246).

Almost surely, 23146080 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 3146080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4328856).

3146080 is an abundant number, since it is smaller than the sum of its proper divisors (5511632).

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

3146080 is an equidigital number, since it uses as much as digits as its factorization.

3146080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 3146080 is about 1773.7192562522. The cubic root of 3146080 is about 146.5288880586.

The spelling of 3146080 in words is "three million, one hundred forty-six thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 53 56 70 80 106 112 140 160 212 224 265 280 371 424 530 560 742 848 1060 1120 1484 1696 1855 2120 2809 2968 3710 4240 5618 5936 7420 8480 11236 11872 14045 14840 19663 22472 28090 29680 39326 44944 56180 59360 78652 89888 98315 112360 157304 196630 224720 314608 393260 449440 629216 786520 1573040 3146080