Search a number
-
+
7972003780 = 22513223102547
BaseRepresentation
bin1110110110010101…
…10001111111000100
3202120120201202022021
413123022301333010
5112311313110110
63355015412524
7401360625346
oct73312617704
922516652267
107972003780
113420a96484
121665984144
139a07c0200
14558a9b296
15319d1a2da
hex1db2b1fc4

7972003780 has 72 divisors (see below), whose sum is σ = 18916414272. Its totient is φ = 2815502976.

The previous prime is 7972003771. The next prime is 7972003789. The reversal of 7972003780 is 873002797.

It is an interprime number because it is at equal distance from previous prime (7972003771) and next prime (7972003789).

It is not an unprimeable number, because it can be changed into a prime (7972003789) 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 23 ways as a sum of consecutive naturals, for example, 26467 + ... + 129013.

It is an arithmetic number, because the mean of its divisors is an integer number (262727976).

Almost surely, 27972003780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7972003780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9458207136).

7972003780 is an abundant number, since it is smaller than the sum of its proper divisors (10944410492).

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

7972003780 is a wasteful number, since it uses less digits than its factorization.

7972003780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102605 (or 102590 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 43.

The square root of 7972003780 is about 89286.0783101151. The cubic root of 7972003780 is about 1997.6642548760.

The spelling of 7972003780 in words is "seven billion, nine hundred seventy-two million, three thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 169 230 260 299 338 460 598 676 845 1196 1495 1690 2990 3380 3887 5980 7774 15548 19435 38870 77740 102547 205094 410188 512735 1025470 1333111 2050940 2358581 2666222 4717162 5332444 6665555 9434324 11792905 13331110 17330443 23585810 26662220 30661553 34660886 47171620 61323106 69321772 86652215 122646212 153307765 173304430 306615530 346608860 398600189 613231060 797200378 1594400756 1993000945 3986001890 7972003780