Search a number
-
+
3120078 = 2313217181
BaseRepresentation
bin1011111001101111001110
312212111221110
423321233032
51244320303
6150512450
735343303
oct13715716
95774843
103120078
111841185
121065726
13853200
145b30aa
15419703
hex2f9bce

3120078 has 48 divisors (see below), whose sum is σ = 7194096. Its totient is φ = 898560.

The previous prime is 3120077. The next prime is 3120079. The reversal of 3120078 is 8700213.

It is an interprime number because it is at equal distance from previous prime (3120077) and next prime (3120079).

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3120071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17148 + ... + 17328.

It is an arithmetic number, because the mean of its divisors is an integer number (149877).

Almost surely, 23120078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3120078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3597048).

3120078 is an abundant number, since it is smaller than the sum of its proper divisors (4074018).

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

3120078 is a wasteful number, since it uses less digits than its factorization.

3120078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 3120078 is about 1766.3742525297. The cubic root of 3120078 is about 146.1240891617.

It can be divided in two parts, 31200 and 78, that multiplied together give a square (2433600 = 15602).

The spelling of 3120078 in words is "three million, one hundred twenty thousand, seventy-eight".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 169 181 221 338 362 442 507 543 663 1014 1086 1326 2353 2873 3077 4706 5746 6154 7059 8619 9231 14118 17238 18462 30589 40001 61178 80002 91767 120003 183534 240006 520013 1040026 1560039 3120078