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5803020 = 22325103313
BaseRepresentation
bin10110001000110000001100
3101220211020200
4112020300030
52441144040
6324213500
7100216266
oct26106014
911824220
105803020
113303993
121b3a290
131282452
14ab0b36
15799630
hex588c0c

5803020 has 72 divisors (see below), whose sum is σ = 17830176. Its totient is φ = 1527552.

The previous prime is 5803019. The next prime is 5803027. The reversal of 5803020 is 203085.

It is a super-2 number, since 2×58030202 = 67350082240800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5802984 and 5803002.

It is not an unprimeable number, because it can be changed into a prime (5803027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18384 + ... + 18696.

Almost surely, 25803020 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 5803020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8915088).

5803020 is an abundant number, since it is smaller than the sum of its proper divisors (12027156).

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

5803020 is a wasteful number, since it uses less digits than its factorization.

5803020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5803020 is about 2408.9458275354. The cubic root of 5803020 is about 179.7013566378.

It can be divided in two parts, 580 and 3020, that added together give a square (3600 = 602).

The spelling of 5803020 in words is "five million, eight hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 103 180 206 309 313 412 515 618 626 927 939 1030 1236 1252 1545 1565 1854 1878 2060 2817 3090 3130 3708 3756 4635 4695 5634 6180 6260 9270 9390 11268 14085 18540 18780 28170 32239 56340 64478 96717 128956 161195 193434 290151 322390 386868 483585 580302 644780 967170 1160604 1450755 1934340 2901510 5803020