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2587068 = 22321147139
BaseRepresentation
bin1001110111100110111100
311212102210100
421313212330
51130241233
6131241100
730663321
oct11674674
94772710
102587068
111507780
12a49190
136c7713
144b4b48
15361813
hex2779bc

2587068 has 72 divisors (see below), whose sum is σ = 7338240. Its totient is φ = 761760.

The previous prime is 2587049. The next prime is 2587069. The reversal of 2587068 is 8607852.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2587069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18543 + ... + 18681.

It is an arithmetic number, because the mean of its divisors is an integer number (101920).

22587068 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 2587068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3669120).

2587068 is an abundant number, since it is smaller than the sum of its proper divisors (4751172).

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

2587068 is a wasteful number, since it uses less digits than its factorization.

2587068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2587068 is about 1608.4365079169. The cubic root of 2587068 is about 137.2785283149.

The spelling of 2587068 in words is "two million, five hundred eighty-seven thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 94 99 132 139 141 188 198 278 282 396 417 423 517 556 564 834 846 1034 1251 1529 1551 1668 1692 2068 2502 3058 3102 4587 4653 5004 6116 6204 6533 9174 9306 13066 13761 18348 18612 19599 26132 27522 39198 55044 58797 71863 78396 117594 143726 215589 235188 287452 431178 646767 862356 1293534 2587068