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3027245760 = 2632571121773
BaseRepresentation
bin1011010001110000…
…0001101011000000
321210222022000111100
42310130001223000
522144433331020
61220220214400
7135006110250
oct26434015300
97728260440
103027245760
11131388a600
1270599a400
133932339a6
1420a099960
1512ab76a90
hexb4701ac0

3027245760 has 1008 divisors, whose sum is σ = 14039258688. Its totient is φ = 583925760.

The previous prime is 3027245747. The next prime is 3027245779. The reversal of 3027245760 is 675427203.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41469084 + ... + 41469156.

It is an arithmetic number, because the mean of its divisors is an integer number (13927836).

Almost surely, 23027245760 is an apocalyptic number.

3027245760 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 3027245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7019629344).

3027245760 is an abundant number, since it is smaller than the sum of its proper divisors (11012012928).

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

3027245760 is a wasteful number, since it uses less digits than its factorization.

3027245760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 3027245760 is about 55020.4122121963. The cubic root of 3027245760 is about 1446.6025507154.

The spelling of 3027245760 in words is "three billion, twenty-seven million, two hundred forty-five thousand, seven hundred sixty".