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2707331040 = 253852579
BaseRepresentation
bin1010000101011110…
…1001011111100000
320222200022200000000
42201113221133200
521021034043130
61124351300000
7124042635261
oct24127513740
96880280000
102707331040
11116a243977
1263681a600
13341b8253b
141b97c0968
1510ca32260
hexa15e97e0

2707331040 has 216 divisors, whose sum is σ = 9597336840. Its totient is φ = 721675008.

The previous prime is 2707331023. The next prime is 2707331057. The reversal of 2707331040 is 401337072.

2707331040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2707331023) and next prime (2707331057).

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a junction number, because it is equal to n+sod(n) for n = 2707330995 and 2707331013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1048471 + ... + 1051049.

It is an arithmetic number, because the mean of its divisors is an integer number (44432115).

Almost surely, 22707331040 is an apocalyptic number.

2707331040 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 2707331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4798668420).

2707331040 is an abundant number, since it is smaller than the sum of its proper divisors (6890005800).

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

2707331040 is an frugal number, since it uses more digits than its factorization.

2707331040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618 (or 2589 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 2707331040 is about 52032.0193726901. The cubic root of 2707331040 is about 1393.7357953602.

The spelling of 2707331040 in words is "two billion, seven hundred seven million, three hundred thirty-one thousand, forty".