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3082060128 = 253736712497
BaseRepresentation
bin1011011110110100…
…1000000101100000
321221210102212200010
42313231020011200
522303001411003
61225455124520
7136243036020
oct26755100540
97853385603
103082060128
111341819434
12720213740
133a16b6524
14213487a80
151308a3003
hexb7b48160

3082060128 has 96 divisors (see below), whose sum is σ = 9272116224. Its totient is φ = 878118912.

The previous prime is 3082060117. The next prime is 3082060139. The reversal of 3082060128 is 8210602803.

It is an interprime number because it is at equal distance from previous prime (3082060117) and next prime (3082060139).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 3082060095 and 3082060104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240376 + ... + 252872.

It is an arithmetic number, because the mean of its divisors is an integer number (96584544).

Almost surely, 23082060128 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 3082060128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4636058112).

3082060128 is an abundant number, since it is smaller than the sum of its proper divisors (6190056096).

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

3082060128 is a wasteful number, since it uses less digits than its factorization.

3082060128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12884 (or 12876 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 3082060128 is about 55516.3050643683. The cubic root of 3082060128 is about 1455.2815912048.

The spelling of 3082060128 in words is "three billion, eighty-two million, sixty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 367 672 734 1101 1468 2202 2569 2936 4404 5138 5872 7707 8808 10276 11744 12497 15414 17616 20552 24994 30828 35232 37491 41104 49988 61656 74982 82208 87479 99976 123312 149964 174958 199952 246624 262437 299928 349916 399904 524874 599856 699832 1049748 1199712 1399664 2099496 2799328 4198992 4586399 8397984 9172798 13759197 18345596 27518394 32104793 36691192 55036788 64209586 73382384 96314379 110073576 128419172 146764768 192628758 220147152 256838344 385257516 440294304 513676688 770515032 1027353376 1541030064 3082060128