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2075525120 = 21753167
BaseRepresentation
bin111101110110110…
…0000000000000000
312100122110121012202
41323231200000000
513222313300440
6541541412332
7102301446434
oct17355400000
95318417182
102075525120
11975641819
1249b10a0a8
13270ccb996
141599189c4
15c2330615
hex7bb60000

2075525120 has 72 divisors (see below), whose sum is σ = 4982814144. Its totient is φ = 829947904.

The previous prime is 2075525071. The next prime is 2075525143. The reversal of 2075525120 is 215255702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 653777 + ... + 656943.

It is an arithmetic number, because the mean of its divisors is an integer number (69205752).

Almost surely, 22075525120 is an apocalyptic number.

2075525120 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 2075525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2491407072).

2075525120 is an abundant number, since it is smaller than the sum of its proper divisors (2907289024).

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

2075525120 is an frugal number, since it uses more digits than its factorization.

2075525120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3206 (or 3174 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 29.

The square root of 2075525120 is about 45557.9314719183. The cubic root of 2075525120 is about 1275.5847877461.

The spelling of 2075525120 in words is "two billion, seventy-five million, five hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 3167 4096 5120 6334 8192 10240 12668 15835 16384 20480 25336 31670 32768 40960 50672 63340 65536 81920 101344 126680 131072 163840 202688 253360 327680 405376 506720 655360 810752 1013440 1621504 2026880 3243008 4053760 6486016 8107520 12972032 16215040 25944064 32430080 51888128 64860160 103776256 129720320 207552512 259440640 415105024 518881280 1037762560 2075525120