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3082129980 = 2235671276037
BaseRepresentation
bin1011011110110101…
…1001001000111100
321221210120102111020
42313231121020330
522303011124410
61225500424140
7136243446456
oct26755311074
97853512436
103082129980
111341866966
12720248050
133a170c267
142134a52d6
151308b8a70
hexb7b5923c

3082129980 has 96 divisors (see below), whose sum is σ = 8829198336. Its totient is φ = 803126016.

The previous prime is 3082129909. The next prime is 3082129987. The reversal of 3082129980 is 899212803.

It is a super-2 number, since 2×30821299802 = 18999050427229600800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3082129987) 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, 507522 + ... + 513558.

It is an arithmetic number, because the mean of its divisors is an integer number (91970816).

Almost surely, 23082129980 is an apocalyptic number.

3082129980 is a gapful number since it is divisible by the number (30) 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 3082129980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4414599168).

3082129980 is an abundant number, since it is smaller than the sum of its proper divisors (5747068356).

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

3082129980 is a wasteful number, since it uses less digits than its factorization.

3082129980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6243 (or 6241 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 3082129980 is about 55516.9341732773. The cubic root of 3082129980 is about 1455.2925853189.

The spelling of 3082129980 in words is "three billion, eighty-two million, one hundred twenty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 127 134 201 254 268 335 381 402 508 635 670 762 804 1005 1270 1340 1524 1905 2010 2540 3810 4020 6037 7620 8509 12074 17018 18111 24148 25527 30185 34036 36222 42545 51054 60370 72444 85090 90555 102108 120740 127635 170180 181110 255270 362220 404479 510540 766699 808958 1213437 1533398 1617916 2022395 2300097 2426874 3066796 3833495 4044790 4600194 4853748 6067185 7666990 8089580 9200388 11500485 12134370 15333980 23000970 24268740 46001940 51368833 102737666 154106499 205475332 256844165 308212998 513688330 616425996 770532495 1027376660 1541064990 3082129980