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5790060 = 22325191693
BaseRepresentation
bin10110000101100101101100
3101220011110200
4112011211230
52440240220
6324033500
7100133433
oct26054554
911804420
105790060
1132a5181
121b32890
131279593
14aaa11a
15795890
hex58596c

5790060 has 72 divisors (see below), whose sum is σ = 18498480. Its totient is φ = 1461888.

The previous prime is 5790023. The next prime is 5790067. The reversal of 5790060 is 600975.

It is not an unprimeable number, because it can be changed into a prime (5790067) 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, 2574 + ... + 4266.

Almost surely, 25790060 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 5790060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9249240).

5790060 is an abundant number, since it is smaller than the sum of its proper divisors (12708420).

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

5790060 is a wasteful number, since it uses less digits than its factorization.

5790060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 5790060 is about 2406.2543506454. The cubic root of 5790060 is about 179.5674800537.

The spelling of 5790060 in words is "five million, seven hundred ninety thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1693 1710 3386 3420 5079 6772 8465 10158 15237 16930 20316 25395 30474 32167 33860 50790 60948 64334 76185 96501 101580 128668 152370 160835 193002 289503 304740 321670 386004 482505 579006 643340 965010 1158012 1447515 1930020 2895030 5790060