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2960086528 = 2971137309
BaseRepresentation
bin1011000001101111…
…0101011000000000
321122021220222100101
42300123311120000
522030240232103
61205420532144
7133232214610
oct26033653000
97567828311
102960086528
111289989903
126a73b1054
1338234b1b9
142011b6a40
15124d0ca1d
hexb06f5600

2960086528 has 80 divisors (see below), whose sum is σ = 6820054560. Its totient is φ = 1257209856.

The previous prime is 2960086501. The next prime is 2960086531. The reversal of 2960086528 is 8256800692.

It is a super-2 number, since 2×29600865282 = 17524224506494189568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 401338 + ... + 408646.

It is an arithmetic number, because the mean of its divisors is an integer number (85250682).

Almost surely, 22960086528 is an apocalyptic number.

2960086528 is a gapful number since it is divisible by the number (28) 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 2960086528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3410027280).

2960086528 is an abundant number, since it is smaller than the sum of its proper divisors (3859968032).

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

2960086528 is an equidigital number, since it uses as much as digits as its factorization.

2960086528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7447 (or 7431 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The square root of 2960086528 is about 54406.6772372656. The cubic root of 2960086528 is about 1435.8248610254.

The spelling of 2960086528 in words is "two billion, nine hundred sixty million, eighty-six thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 113 128 224 226 256 448 452 512 791 896 904 1582 1792 1808 3164 3584 3616 6328 7232 7309 12656 14464 14618 25312 28928 29236 50624 51163 57856 58472 101248 102326 116944 202496 204652 233888 404992 409304 467776 818608 825917 935552 1637216 1651834 1871104 3274432 3303668 3742208 5781419 6548864 6607336 11562838 13097728 13214672 23125676 26195456 26429344 46251352 52858688 92502704 105717376 185005408 211434752 370010816 422869504 740021632 1480043264 2960086528