Search a number
-
+
3121056 = 253210837
BaseRepresentation
bin1011111001111110100000
312212120021200
423321332200
51244333211
6150521200
735346201
oct13717640
95776250
103121056
111841994
121066200
138537a3
145b35a8
15419b56
hex2f9fa0

3121056 has 36 divisors (see below), whose sum is σ = 8876322. Its totient is φ = 1040256.

The previous prime is 3121051. The next prime is 3121057. The reversal of 3121056 is 6501213.

It can be written as a sum of positive squares in only one way, i.e., 2944656 + 176400 = 1716^2 + 420^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3121051) 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 5 ways as a sum of consecutive naturals, for example, 5131 + ... + 5706.

Almost surely, 23121056 is an apocalyptic number.

3121056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3121056 is an abundant number, since it is smaller than the sum of its proper divisors (5755266).

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

3121056 is a wasteful number, since it uses less digits than its factorization.

3121056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10853 (or 10842 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 3121056 is about 1766.6510691135. The cubic root of 3121056 is about 146.1393552790.

Adding to 3121056 its reverse (6501213), we get a palindrome (9622269).

The spelling of 3121056 in words is "three million, one hundred twenty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 10837 21674 32511 43348 65022 86696 97533 130044 173392 195066 260088 346784 390132 520176 780264 1040352 1560528 3121056