Search a number
-
+
2557530 = 2325157181
BaseRepresentation
bin1001110000011001011010
311210221021100
421300121122
51123320110
6130452230
730511233
oct11603132
94727240
102557530
111497568
12a34076
136b7141
144a808a
15357bc0
hex27065a

2557530 has 48 divisors (see below), whose sum is σ = 6728904. Its totient is φ = 673920.

The previous prime is 2557519. The next prime is 2557553. The reversal of 2557530 is 357552.

It can be written as a sum of positive squares in 4 ways, for example, as 962361 + 1595169 = 981^2 + 1263^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2557494 and 2557503.

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, 14040 + ... + 14220.

22557530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2557530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3364452).

2557530 is an abundant number, since it is smaller than the sum of its proper divisors (4171374).

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

2557530 is a wasteful number, since it uses less digits than its factorization.

2557530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 27.

The square root of 2557530 is about 1599.2279387254. The cubic root of 2557530 is about 136.7540653206.

The spelling of 2557530 in words is "two million, five hundred fifty-seven thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 157 181 314 362 471 543 785 905 942 1086 1413 1570 1629 1810 2355 2715 2826 3258 4710 5430 7065 8145 14130 16290 28417 56834 85251 142085 170502 255753 284170 426255 511506 852510 1278765 2557530