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2074913280 = 29335112729
BaseRepresentation
bin111101110101100…
…1010101000000000
312100121022111221000
41323223022220000
513222134211110
6541520332000
7102263320566
oct17353125000
95317274830
102074913280
11975264070
1249aa74000
13270b4634b
141597d9a36
15c225e1c0
hex7bacaa00

2074913280 has 320 divisors, whose sum is σ = 8043235200. Its totient is φ = 502824960.

The previous prime is 2074913263. The next prime is 2074913287. The reversal of 2074913280 is 823194702.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2074913287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 758956 + ... + 761684.

It is an arithmetic number, because the mean of its divisors is an integer number (25135110).

Almost surely, 22074913280 is an apocalyptic number.

2074913280 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 2074913280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021617600).

2074913280 is an abundant number, since it is smaller than the sum of its proper divisors (5968321920).

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

2074913280 is a wasteful number, since it uses less digits than its factorization.

2074913280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2772 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2074913280 is about 45551.2160101133. The cubic root of 2074913280 is about 1275.4594330441.

The spelling of 2074913280 in words is "two billion, seventy-four million, nine hundred thirteen thousand, two hundred eighty".