Search a number
-
+
2530703250 = 23453472659
BaseRepresentation
bin1001011011010111…
…0111011110010010
320112100222001020000
42112311313132102
520140330001000
61055041430430
7116466423405
oct22665673622
96470861200
102530703250
111089574899
125a763b416
133143bc55a
141a0163d3c
15ec293000
hex96d77792

2530703250 has 160 divisors (see below), whose sum is σ = 7230263040. Its totient is φ = 660247200.

The previous prime is 2530703221. The next prime is 2530703251. The reversal of 2530703250 is 523070352.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2530703251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 950421 + ... + 953079.

It is an arithmetic number, because the mean of its divisors is an integer number (45189144).

Almost surely, 22530703250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2530703250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615131520).

2530703250 is an abundant number, since it is smaller than the sum of its proper divisors (4699559790).

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

2530703250 is a wasteful number, since it uses less digits than its factorization.

2530703250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2735 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 2530703250 is about 50306.0955551114. The cubic root of 2530703250 is about 1362.7423130463.

The spelling of 2530703250 in words is "two billion, five hundred thirty million, seven hundred three thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 47 50 54 75 81 90 94 125 135 141 150 162 225 235 250 270 282 375 405 423 450 470 675 705 750 810 846 1125 1175 1269 1350 1410 2025 2115 2250 2350 2538 2659 3375 3525 3807 4050 4230 5318 5875 6345 6750 7050 7614 7977 10125 10575 11750 12690 13295 15954 17625 19035 20250 21150 23931 26590 31725 35250 38070 39885 47862 52875 63450 66475 71793 79770 95175 105750 119655 124973 132950 143586 158625 190350 199425 215379 239310 249946 317250 332375 358965 374919 398850 430758 475875 598275 624865 664750 717930 749838 951750 997125 1076895 1124757 1196550 1249730 1794825 1874595 1994250 2153790 2249514 2991375 3124325 3374271 3589650 3749190 5384475 5623785 5982750 6248650 6748542 8974125 9372975 10122813 10768950 11247570 15621625 16871355 17948250 18745950 20245626 26922375 28118925 31243250 33742710 46864875 50614065 53844750 56237850 84356775 93729750 101228130 140594625 168713550 253070325 281189250 421783875 506140650 843567750 1265351625 2530703250