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2960012160 = 2735572719
BaseRepresentation
bin1011000001101110…
…0011001110000000
321122021210012100000
42300123203032000
522030230342120
61205415200000
7133231455030
oct26033431600
97567705300
102960012160
111289938a46
126a7376000
133823233b1
142011978c0
15124ce5990
hexb06e3380

2960012160 has 384 divisors, whose sum is σ = 12118579200. Its totient is φ = 676325376.

The previous prime is 2960012141. The next prime is 2960012189. The reversal of 2960012160 is 612100692.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 1087281 + ... + 1089999.

It is an arithmetic number, because the mean of its divisors is an integer number (31558800).

Almost surely, 22960012160 is an apocalyptic number.

2960012160 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 2960012160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6059289600).

2960012160 is an abundant number, since it is smaller than the sum of its proper divisors (9158567040).

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

2960012160 is an equidigital number, since it uses as much as digits as its factorization.

2960012160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 2960012160 is about 54405.9937874496. The cubic root of 2960012160 is about 1435.8128365664.

The spelling of 2960012160 in words is "two billion, nine hundred sixty million, twelve thousand, one hundred sixty".