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3120896 = 2873167
BaseRepresentation
bin1011111001111100000000
312212120001202
423321330000
51244332041
6150520332
735345552
oct13717400
95776052
103120896
111841859
1210660a8
138536ac
145b34d2
15419a9b
hex2f9f00

3120896 has 36 divisors (see below), whose sum is σ = 6352752. Its totient is φ = 1529856.

The previous prime is 3120889. The next prime is 3120899. The reversal of 3120896 is 6980213.

3120896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3120899) 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 3 ways as a sum of consecutive naturals, for example, 18605 + ... + 18771.

Almost surely, 23120896 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 3120896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3176376).

3120896 is an abundant number, since it is smaller than the sum of its proper divisors (3231856).

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

3120896 is an equidigital number, since it uses as much as digits as its factorization.

3120896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 3120896 is about 1766.6057851145. The cubic root of 3120896 is about 146.1368579729.

The spelling of 3120896 in words is "three million, one hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 73 128 146 167 256 292 334 584 668 1168 1336 2336 2672 4672 5344 9344 10688 12191 18688 21376 24382 42752 48764 97528 195056 390112 780224 1560448 3120896