Search a number
-
+
3097960 = 235411889
BaseRepresentation
bin1011110100010101101000
312211101121021
423310111220
51243113320
6150222224
735221645
oct13642550
95741537
103097960
1118265a8
121054974
13846118
145a8dcc
15412daa
hex2f4568

3097960 has 32 divisors (see below), whose sum is σ = 7144200. Its totient is φ = 1208320.

The previous prime is 3097951. The next prime is 3097979. The reversal of 3097960 is 697903.

3097960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1643524 + 1454436 = 1282^2 + 1206^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 696 + ... + 2584.

Almost surely, 23097960 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 3097960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572100).

3097960 is an abundant number, since it is smaller than the sum of its proper divisors (4046240).

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

3097960 is a wasteful number, since it uses less digits than its factorization.

3097960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 34.

The square root of 3097960 is about 1760.1022697559. The cubic root of 3097960 is about 145.7779824410. Note that the first 3 decimals are identical.

The spelling of 3097960 in words is "three million, ninety-seven thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 1889 3778 7556 9445 15112 18890 37780 75560 77449 154898 309796 387245 619592 774490 1548980 3097960