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2720144 = 247149163
BaseRepresentation
bin1010011000000110010000
312010012100002
422120012100
51144021034
6134145132
732056310
oct12300620
95105302
102720144
111598759
12ab21a8
1374316b
1450b440
1538ae7e
hex298190

2720144 has 40 divisors (see below), whose sum is σ = 6100800. Its totient is φ = 1150848.

The previous prime is 2720117. The next prime is 2720147. The reversal of 2720144 is 4410272.

It is not an unprimeable number, because it can be changed into a prime (2720147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16607 + ... + 16769.

It is an arithmetic number, because the mean of its divisors is an integer number (152520).

22720144 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 2720144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3050400).

2720144 is an abundant number, since it is smaller than the sum of its proper divisors (3380656).

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

2720144 is a wasteful number, since it uses less digits than its factorization.

2720144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 2720144 is about 1649.2859060818. The cubic root of 2720144 is about 139.5931042590.

The spelling of 2720144 in words is "two million, seven hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 149 163 298 326 596 652 1043 1141 1192 1304 2086 2282 2384 2608 4172 4564 8344 9128 16688 18256 24287 48574 97148 170009 194296 340018 388592 680036 1360072 2720144