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2506068 = 2232671039
BaseRepresentation
bin1001100011110101010100
311201022200100
421203311110
51120143233
6125414100
730205215
oct11436524
94638610
102506068
111461934
12a0a330
136998a6
1449340c
15347813
hex263d54

2506068 has 36 divisors (see below), whose sum is σ = 6435520. Its totient is φ = 822096.

The previous prime is 2506033. The next prime is 2506069. The reversal of 2506068 is 8606052.

2506068 is a `hidden beast` number, since 2 + 50 + 606 + 8 = 666.

2506068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506069) 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 11 ways as a sum of consecutive naturals, for example, 1893 + ... + 2931.

22506068 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 2506068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217760).

2506068 is an abundant number, since it is smaller than the sum of its proper divisors (3929452).

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

2506068 is a wasteful number, since it uses less digits than its factorization.

2506068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2506068 is about 1583.0565372090. The cubic root of 2506068 is about 135.8305993486.

The spelling of 2506068 in words is "two million, five hundred six thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1039 1206 2078 2412 3117 4156 6234 9351 12468 18702 37404 69613 139226 208839 278452 417678 626517 835356 1253034 2506068