Search a number
-
+
2500680 = 2335713229
BaseRepresentation
bin1001100010100001001000
311201001021210
421202201020
51120010210
6125333120
730153420
oct11424110
94631253
102500680
111458886
12a071a0
136972c0
14491480
15345e20
hex262848

2500680 has 128 divisors (see below), whose sum is σ = 9273600. Its totient is φ = 525312.

The previous prime is 2500679. The next prime is 2500709. The reversal of 2500680 is 860052.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10806 + ... + 11034.

It is an arithmetic number, because the mean of its divisors is an integer number (72450).

22500680 is an apocalyptic number.

2500680 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 2500680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4636800).

2500680 is an abundant number, since it is smaller than the sum of its proper divisors (6772920).

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

2500680 is a wasteful number, since it uses less digits than its factorization.

2500680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2500680 is about 1581.3538503447. The cubic root of 2500680 is about 135.7331850741.

The spelling of 2500680 in words is "two million, five hundred thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 229 260 273 280 312 364 390 420 455 458 520 546 687 728 780 840 910 916 1092 1145 1365 1374 1560 1603 1820 1832 2184 2290 2730 2748 2977 3206 3435 3640 4580 4809 5460 5496 5954 6412 6870 8015 8931 9160 9618 10920 11908 12824 13740 14885 16030 17862 19236 20839 23816 24045 27480 29770 32060 35724 38472 41678 44655 48090 59540 62517 64120 71448 83356 89310 96180 104195 119080 125034 166712 178620 192360 208390 250068 312585 357240 416780 500136 625170 833560 1250340 2500680