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2588130 = 2325149193
BaseRepresentation
bin1001110111110111100010
311212111020200
421313313202
51130310010
6131250030
730666366
oct11676742
94774220
102588130
111508556
12a49916
136c804c
144b52a6
15361cc0
hex277de2

2588130 has 48 divisors (see below), whose sum is σ = 6809400. Its totient is φ = 681984.

The previous prime is 2588129. The next prime is 2588141. The reversal of 2588130 is 318852.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1212201 + 1375929 = 1101^2 + 1173^2 .

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2588094 and 2588103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13314 + ... + 13506.

22588130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2588130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3404700).

2588130 is an abundant number, since it is smaller than the sum of its proper divisors (4221270).

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

2588130 is a wasteful number, since it uses less digits than its factorization.

2588130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2588130 is about 1608.7666083059. The cubic root of 2588130 is about 137.2973101756.

The spelling of 2588130 in words is "two million, five hundred eighty-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 149 193 298 386 447 579 745 894 965 1158 1341 1490 1737 1930 2235 2682 2895 3474 4470 5790 6705 8685 13410 17370 28757 57514 86271 143785 172542 258813 287570 431355 517626 862710 1294065 2588130