Search a number
-
+
58021040 = 2457119419
BaseRepresentation
bin1101110101010…
…1010010110000
311001011202220102
43131111102300
5104323133130
65431331532
71303112360
oct335252260
9131152812
1058021040
112a82a080
1217520ba8
13c03629c
1479c49a0
155161645
hex37554b0

58021040 has 80 divisors (see below), whose sum is σ = 168203520. Its totient is φ = 18082560.

The previous prime is 58021021. The next prime is 58021049. The reversal of 58021040 is 4012085.

58021040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (58021049) 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 15 ways as a sum of consecutive naturals, for example, 1451 + ... + 10869.

It is an arithmetic number, because the mean of its divisors is an integer number (2102544).

Almost surely, 258021040 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 58021040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84101760).

58021040 is an abundant number, since it is smaller than the sum of its proper divisors (110182480).

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

58021040 is a wasteful number, since it uses less digits than its factorization.

58021040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9450 (or 9444 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 58021040 is about 7617.1543242867. The cubic root of 58021040 is about 387.1344648665.

The spelling of 58021040 in words is "fifty-eight million, twenty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 9419 18838 37676 47095 65933 75352 94190 103609 131866 150704 188380 207218 263732 329665 376760 414436 518045 527464 659330 725263 753520 828872 1036090 1054928 1318660 1450526 1657744 2072180 2637320 2901052 3626315 4144360 5274640 5802104 7252630 8288720 11604208 14505260 29010520 58021040