Search a number
-
+
2419528980 = 2235114777999
BaseRepresentation
bin1001000000110111…
…0001010100010100
320020121202210210110
42100031301110110
514423344411410
61040030523020
7113646441231
oct22015612424
96217683713
102419528980
111031840a30
12576366470
132c736586b
1418d4a4788
15e2632720
hex90371514

2419528980 has 96 divisors (see below), whose sum is σ = 7547904000. Its totient is φ = 574065280.

The previous prime is 2419528967. The next prime is 2419528987. The reversal of 2419528980 is 898259142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2419528987) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7980 + ... + 70019.

It is an arithmetic number, because the mean of its divisors is an integer number (78624000).

Almost surely, 22419528980 is an apocalyptic number.

2419528980 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 2419528980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3773952000).

2419528980 is an abundant number, since it is smaller than the sum of its proper divisors (5128375020).

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

2419528980 is a wasteful number, since it uses less digits than its factorization.

2419528980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78069 (or 78067 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The square root of 2419528980 is about 49188.7078504813. The cubic root of 2419528980 is about 1342.4875786470.

The spelling of 2419528980 in words is "two billion, four hundred nineteen million, five hundred twenty-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 47 55 60 66 94 110 132 141 165 188 220 235 282 330 470 517 564 660 705 940 1034 1410 1551 2068 2585 2820 3102 5170 6204 7755 10340 15510 31020 77999 155998 233997 311996 389995 467994 779990 857989 935988 1169985 1559980 1715978 2339970 2573967 3431956 3665953 4289945 4679940 5147934 7331906 8579890 10295868 10997859 12869835 14663812 17159780 18329765 21995718 25739670 36659530 40325483 43991436 51479340 54989295 73319060 80650966 109978590 120976449 161301932 201627415 219957180 241952898 403254830 483905796 604882245 806509660 1209764490 2419528980