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2960144 = 24113139
BaseRepresentation
bin1011010010101100010000
312120101112222
423102230100
51224211034
6143240212
734106105
oct13225420
95511488
102960144
111742000
12ba9068
137c8485
14570aac
153d712e
hex2d2b10

2960144 has 40 divisors (see below), whose sum is σ = 6353760. Its totient is φ = 1335840.

The previous prime is 2960137. The next prime is 2960161. The reversal of 2960144 is 4410692.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21227 + ... + 21365.

It is an arithmetic number, because the mean of its divisors is an integer number (158844).

22960144 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 2960144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3176880).

2960144 is an abundant number, since it is smaller than the sum of its proper divisors (3393616).

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

2960144 is a wasteful number, since it uses less digits than its factorization.

2960144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 2960144 is about 1720.5069020495. The cubic root of 2960144 is about 143.5834153456.

The spelling of 2960144 in words is "two million, nine hundred sixty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 139 176 242 278 484 556 968 1112 1331 1529 1936 2224 2662 3058 5324 6116 10648 12232 16819 21296 24464 33638 67276 134552 185009 269104 370018 740036 1480072 2960144