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2073244032 = 27331573821
BaseRepresentation
bin111101110010011…
…0011000110000000
312100111011201011000
41323210303012000
513221222302112
6541420452000
7102243166146
oct17344630600
95314151130
102073244032
11974323a22
1249a3aa000
132706b0622
141594c3596
15c202e7dc
hex7b933180

2073244032 has 128 divisors (see below), whose sum is σ = 6159535200. Its totient is φ = 686499840.

The previous prime is 2073244013. The next prime is 2073244057. The reversal of 2073244032 is 2304423702.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 2073243987 and 2073244005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540682 + ... + 544502.

Almost surely, 22073244032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2073244032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3079767600).

2073244032 is an abundant number, since it is smaller than the sum of its proper divisors (4086291168).

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

2073244032 is a wasteful number, since it uses less digits than its factorization.

2073244032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4001 (or 3983 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 2073244032 is about 45532.8895634793. The cubic root of 2073244032 is about 1275.1173096215.

Adding to 2073244032 its reverse (2304423702), we get a palindrome (4377667734).

The spelling of 2073244032 in words is "two billion, seventy-three million, two hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 157 192 216 288 314 384 432 471 576 628 864 942 1152 1256 1413 1728 1884 2512 2826 3456 3768 3821 4239 5024 5652 7536 7642 8478 10048 11304 11463 15072 15284 16956 20096 22608 22926 30144 30568 33912 34389 45216 45852 60288 61136 67824 68778 90432 91704 103167 122272 135648 137556 180864 183408 206334 244544 271296 275112 366816 412668 489088 542592 550224 599897 733632 825336 1100448 1199794 1467264 1650672 1799691 2200896 2399588 3301344 3599382 4401792 4799176 5399073 6602688 7198764 9598352 10798146 13205376 14397528 16197219 19196704 21596292 28795056 32394438 38393408 43192584 57590112 64788876 76786816 86385168 115180224 129577752 172770336 230360448 259155504 345540672 518311008 691081344 1036622016 2073244032