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2073541040 = 24575134513
BaseRepresentation
bin111101110010111…
…1011100110110000
312100111201210120022
41323211323212300
513221311303130
6541431103012
7102245544104
oct17345734660
95314653508
102073541040
1197450708a
1249a511a68
1327078587c
1415955d904
15c208c7e5
hex7b97b9b0

2073541040 has 40 divisors (see below), whose sum is σ = 4827542208. Its totient is φ = 828288000.

The previous prime is 2073541031. The next prime is 2073541049. The reversal of 2073541040 is 401453702.

It is an interprime number because it is at equal distance from previous prime (2073541031) and next prime (2073541049).

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2073541049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42824 + ... + 77336.

Almost surely, 22073541040 is an apocalyptic number.

2073541040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2073541040 is an abundant number, since it is smaller than the sum of its proper divisors (2754001168).

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

2073541040 is a wasteful number, since it uses less digits than its factorization.

2073541040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35277 (or 35271 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 2073541040 is about 45536.1509133128. The cubic root of 2073541040 is about 1275.1781968033.

Adding to 2073541040 its reverse (401453702), we get a palindrome (2474994742).

The spelling of 2073541040 in words is "two billion, seventy-three million, five hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 751 1502 3004 3755 6008 7510 12016 15020 30040 34513 60080 69026 138052 172565 276104 345130 552208 690260 1380520 2761040 25919263 51838526 103677052 129596315 207354104 259192630 414708208 518385260 1036770520 2073541040