Search a number
-
+
2570040 = 2332511259
BaseRepresentation
bin1001110011011100111000
311211120102200
421303130320
51124220130
6131030200
730562554
oct11633470
94746380
102570040
1114a5a00
12a3b360
136bca45
144ac864
1535b760
hex273738

2570040 has 144 divisors (see below), whose sum is σ = 9336600. Its totient is φ = 612480.

The previous prime is 2570017. The next prime is 2570047. The reversal of 2570040 is 400752.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2569995 and 2570022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2570047) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43531 + ... + 43589.

22570040 is an apocalyptic number.

2570040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2570040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4668300).

2570040 is an abundant number, since it is smaller than the sum of its proper divisors (6766560).

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

2570040 is a wasteful number, since it uses less digits than its factorization.

2570040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 2570040 is about 1603.1344297968. The cubic root of 2570040 is about 136.9766774371.

Adding to 2570040 its reverse (400752), we get a palindrome (2970792).

The spelling of 2570040 in words is "two million, five hundred seventy thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 59 60 66 72 88 90 99 110 118 120 121 132 165 177 180 198 220 236 242 264 295 330 354 360 363 396 440 472 484 495 531 590 605 649 660 708 726 792 885 968 990 1062 1089 1180 1210 1298 1320 1416 1452 1770 1815 1947 1980 2124 2178 2360 2420 2596 2655 2904 3245 3540 3630 3894 3960 4248 4356 4840 5192 5310 5445 5841 6490 7080 7139 7260 7788 8712 9735 10620 10890 11682 12980 14278 14520 15576 19470 21240 21417 21780 23364 25960 28556 29205 35695 38940 42834 43560 46728 57112 58410 64251 71390 77880 85668 107085 116820 128502 142780 171336 214170 233640 257004 285560 321255 428340 514008 642510 856680 1285020 2570040