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2655072 = 25337439
BaseRepresentation
bin1010001000001101100000
311222220002000
422020031200
51134430242
6132524000
731365510
oct12101540
94886060
102655072
111553882
12a80600
1371c664
144d1840
15376a4c
hex288360

2655072 has 96 divisors (see below), whose sum is σ = 8870400. Its totient is φ = 756864.

The previous prime is 2655071. The next prime is 2655113. The reversal of 2655072 is 2705562.

2655072 is a `hidden beast` number, since 2 + 655 + 0 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2655071) 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 15 ways as a sum of consecutive naturals, for example, 5829 + ... + 6267.

It is an arithmetic number, because the mean of its divisors is an integer number (92400).

22655072 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 2655072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4435200).

2655072 is an abundant number, since it is smaller than the sum of its proper divisors (6215328).

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

2655072 is a wasteful number, since it uses less digits than its factorization.

2655072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 2655072 is about 1629.4391673211. The cubic root of 2655072 is about 138.4709805527.

The spelling of 2655072 in words is "two million, six hundred fifty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 439 504 672 756 864 878 1008 1317 1512 1756 2016 2634 3024 3073 3512 3951 5268 6048 6146 7024 7902 9219 10536 11853 12292 14048 15804 18438 21072 23706 24584 27657 31608 36876 42144 47412 49168 55314 63216 73752 82971 94824 98336 110628 126432 147504 165942 189648 221256 295008 331884 379296 442512 663768 885024 1327536 2655072