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2073530800 = 24521117191459
BaseRepresentation
bin111101110010111…
…1001000110110000
312100111201021112001
41323211321012300
513221310441200
6541430543344
7102245502205
oct17345710660
95314637461
102073530800
119744aa420
1249a507b54
13270781003
14159559cac
15c208976a
hex7b9791b0

2073530800 has 240 divisors, whose sum is σ = 6061219200. Its totient is φ = 671846400.

The previous prime is 2073530747. The next prime is 2073530813. The reversal of 2073530800 is 80353702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1420471 + ... + 1421929.

It is an arithmetic number, because the mean of its divisors is an integer number (25255080).

Almost surely, 22073530800 is an apocalyptic number.

2073530800 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 2073530800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3030609600).

2073530800 is an abundant number, since it is smaller than the sum of its proper divisors (3987688400).

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

2073530800 is a wasteful number, since it uses less digits than its factorization.

2073530800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 2073530800 is about 45536.0384750365. The cubic root of 2073530800 is about 1275.1760976814.

The spelling of 2073530800 in words is "two billion, seventy-three million, five hundred thirty thousand, eight hundred".