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45103860 = 22325833019
BaseRepresentation
bin1010110000001…
…1101011110100
310010212111212100
42230003223310
543021310420
64250422100
71055243064
oct254035364
9103774770
1045103860
112350721a
1213131930
139462999
145dc13a4
153e5e190
hex2b03af4

45103860 has 72 divisors (see below), whose sum is σ = 138509280. Its totient is φ = 11878848.

The previous prime is 45103847. The next prime is 45103867. The reversal of 45103860 is 6830154.

45103860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45103867) 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 23 ways as a sum of consecutive naturals, for example, 13431 + ... + 16449.

It is an arithmetic number, because the mean of its divisors is an integer number (1923740).

Almost surely, 245103860 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 45103860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69254640).

45103860 is an abundant number, since it is smaller than the sum of its proper divisors (93405420).

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

45103860 is a wasteful number, since it uses less digits than its factorization.

45103860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3117 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 45103860 is about 6715.9407382734. The cubic root of 45103860 is about 355.9627638536.

The spelling of 45103860 in words is "forty-five million, one hundred three thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 249 332 415 498 747 830 996 1245 1494 1660 2490 2988 3019 3735 4980 6038 7470 9057 12076 14940 15095 18114 27171 30190 36228 45285 54342 60380 90570 108684 135855 181140 250577 271710 501154 543420 751731 1002308 1252885 1503462 2255193 2505770 3006924 3758655 4510386 5011540 7517310 9020772 11275965 15034620 22551930 45103860