Search a number
-
+
2500960 = 255721129
BaseRepresentation
bin1001100010100101100000
311201001200011
421202211200
51120012320
6125334304
730154300
oct11424540
94631604
102500960
111459010
12a07394
13697477
14491600
1534605a
hex262960

2500960 has 144 divisors (see below), whose sum is σ = 7756560. Its totient is φ = 752640.

The previous prime is 2500957. The next prime is 2500961. The reversal of 2500960 is 690052.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2500961) 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, 86226 + ... + 86254.

It is an arithmetic number, because the mean of its divisors is an integer number (53865).

22500960 is an apocalyptic number.

2500960 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 2500960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878280).

2500960 is an abundant number, since it is smaller than the sum of its proper divisors (5255600).

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

2500960 is a wasteful number, since it uses less digits than its factorization.

2500960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 2500960 is about 1581.4423796016. The cubic root of 2500960 is about 135.7382508793.

The spelling of 2500960 in words is "two million, five hundred thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 29 32 35 40 44 49 55 56 58 70 77 80 88 98 110 112 116 140 145 154 160 176 196 203 220 224 232 245 280 290 308 319 352 385 392 406 440 464 490 539 560 580 616 638 770 784 812 880 928 980 1015 1078 1120 1160 1232 1276 1421 1540 1568 1595 1624 1760 1960 2030 2156 2233 2320 2464 2552 2695 2842 3080 3190 3248 3920 4060 4312 4466 4640 5104 5390 5684 6160 6380 6496 7105 7840 8120 8624 8932 10208 10780 11165 11368 12320 12760 14210 15631 16240 17248 17864 21560 22330 22736 25520 28420 31262 32480 35728 43120 44660 45472 51040 56840 62524 71456 78155 86240 89320 113680 125048 156310 178640 227360 250096 312620 357280 500192 625240 1250480 2500960