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3054920 = 2351153131
BaseRepresentation
bin1011101001110101001000
312202012120012
423221311020
51240224140
6145251052
734652321
oct13516510
95665505
103054920
1117a7230
121033a88
1382c65b
14597448
15405265
hex2e9d48

3054920 has 64 divisors (see below), whose sum is σ = 7698240. Its totient is φ = 1081600.

The previous prime is 3054913. The next prime is 3054923. The reversal of 3054920 is 294503.

3054920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3054923) 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 15 ways as a sum of consecutive naturals, for example, 23255 + ... + 23385.

It is an arithmetic number, because the mean of its divisors is an integer number (120285).

Almost surely, 23054920 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 3054920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3849120).

3054920 is an abundant number, since it is smaller than the sum of its proper divisors (4643320).

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

3054920 is a wasteful number, since it uses less digits than its factorization.

3054920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 3054920 is about 1747.8329439623. The cubic root of 3054920 is about 145.0997332095.

It can be divided in two parts, 305 and 4920, that added together give a palindrome (5225).

The spelling of 3054920 in words is "three million, fifty-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 53 55 88 106 110 131 212 220 262 265 424 440 524 530 583 655 1048 1060 1166 1310 1441 2120 2332 2620 2882 2915 4664 5240 5764 5830 6943 7205 11528 11660 13886 14410 23320 27772 28820 34715 55544 57640 69430 76373 138860 152746 277720 305492 381865 610984 763730 1527460 3054920