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4045580 = 2257113771
BaseRepresentation
bin1111011011101100001100
321121112111022
433123230030
52013424310
6222413312
746246460
oct17335414
97545438
104045580
112313560
121431238
13ab8546
147744a0
1554da55
hex3dbb0c

4045580 has 96 divisors (see below), whose sum is σ = 11031552. Its totient is φ = 1209600.

The previous prime is 4045577. The next prime is 4045583. The reversal of 4045580 is 855404.

4045580 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4045577) and next prime (4045583).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4045583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56945 + ... + 57015.

It is an arithmetic number, because the mean of its divisors is an integer number (114912).

Almost surely, 24045580 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 4045580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5515776).

4045580 is an abundant number, since it is smaller than the sum of its proper divisors (6985972).

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

4045580 is a wasteful number, since it uses less digits than its factorization.

4045580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 4045580 is about 2011.3627221364. The cubic root of 4045580 is about 159.3407772219.

The spelling of 4045580 in words is "four million, forty-five thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 37 44 55 70 71 74 77 110 140 142 148 154 185 220 259 284 308 355 370 385 407 497 518 710 740 770 781 814 994 1036 1295 1420 1540 1562 1628 1988 2035 2485 2590 2627 2849 3124 3905 4070 4970 5180 5254 5467 5698 7810 8140 9940 10508 10934 11396 13135 14245 15620 18389 21868 26270 27335 28490 28897 36778 52540 54670 56980 57794 73556 91945 109340 115588 144485 183890 202279 288970 367780 404558 577940 809116 1011395 2022790 4045580