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2073714720 = 2535711192953
BaseRepresentation
bin111101110011010…
…0110000000100000
312100112001121210220
41323212212000200
513221332332340
6541434523040
7102250166340
oct17346460040
95315047726
102073714720
11974615620
1249a596480
1327081693c
141595a6d20
15c20c3ed0
hex7b9a6020

2073714720 has 384 divisors, whose sum is σ = 8575580160. Its totient is φ = 408084480.

The previous prime is 2073714719. The next prime is 2073714737. The reversal of 2073714720 is 274173702.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 63 ways as a sum of consecutive naturals, for example, 700764 + ... + 703716.

It is an arithmetic number, because the mean of its divisors is an integer number (22332240).

Almost surely, 22073714720 is an apocalyptic number.

2073714720 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 2073714720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4287790080).

2073714720 is an abundant number, since it is smaller than the sum of its proper divisors (6501865440).

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

2073714720 is a wasteful number, since it uses less digits than its factorization.

2073714720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008 (or 3000 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 33.

The square root of 2073714720 is about 45538.0579296043. The cubic root of 2073714720 is about 1275.2137988260.

The spelling of 2073714720 in words is "two billion, seventy-three million, seven hundred fourteen thousand, seven hundred twenty".