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2075040 = 2532511131
BaseRepresentation
bin111111010100110100000
310220102102100
413322212200
51012400130
6112250400
723431452
oct7724640
93812370
102075040
111198010
12840a00
13578646
143c02d2
152aec60
hex1fa9a0

2075040 has 144 divisors (see below), whose sum is σ = 7783776. Its totient is φ = 499200.

The previous prime is 2075023. The next prime is 2075041. The reversal of 2075040 is 405702.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2075041) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15775 + ... + 15905.

It is an arithmetic number, because the mean of its divisors is an integer number (54054).

22075040 is an apocalyptic number.

2075040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 1440×1441.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2075040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3891888).

2075040 is an abundant number, since it is smaller than the sum of its proper divisors (5708736).

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

2075040 is a wasteful number, since it uses less digits than its factorization.

2075040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 2075040 is about 1440.4999132246. The cubic root of 2075040 is about 127.5485397652.

The spelling of 2075040 in words is "two million, seventy-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 131 132 144 160 165 176 180 198 220 240 262 264 288 330 352 360 393 396 440 480 495 524 528 655 660 720 786 792 880 990 1048 1056 1179 1310 1320 1440 1441 1572 1584 1760 1965 1980 2096 2358 2620 2640 2882 3144 3168 3930 3960 4192 4323 4716 5240 5280 5764 5895 6288 7205 7860 7920 8646 9432 10480 11528 11790 12576 12969 14410 15720 15840 17292 18864 20960 21615 23056 23580 25938 28820 31440 34584 37728 43230 46112 47160 51876 57640 62880 64845 69168 86460 94320 103752 115280 129690 138336 172920 188640 207504 230560 259380 345840 415008 518760 691680 1037520 2075040