Search a number
-
+
3205020 = 2235713587
BaseRepresentation
bin1100001110011110011100
320000211110110
430032132130
51310030040
6152410020
736146040
oct14163634
96024413
103205020
111899a85
1210a6910
13882a80
145d6020
15434980
hex30e79c

3205020 has 96 divisors (see below), whose sum is σ = 11063808. Its totient is φ = 675072.

The previous prime is 3205009. The next prime is 3205039. The reversal of 3205020 is 205023.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 3204987 and 3205005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5167 + ... + 5753.

It is an arithmetic number, because the mean of its divisors is an integer number (115248).

Almost surely, 23205020 is an apocalyptic number.

3205020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3205020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5531904).

3205020 is an abundant number, since it is smaller than the sum of its proper divisors (7858788).

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

3205020 is a wasteful number, since it uses less digits than its factorization.

3205020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 3205020 is about 1790.2569647958. The cubic root of 3205020 is about 147.4382773448.

The spelling of 3205020 in words is "three million, two hundred five thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 587 780 910 1092 1174 1365 1761 1820 2348 2730 2935 3522 4109 5460 5870 7044 7631 8218 8805 11740 12327 15262 16436 17610 20545 22893 24654 30524 35220 38155 41090 45786 49308 53417 61635 76310 82180 91572 106834 114465 123270 152620 160251 213668 228930 246540 267085 320502 457860 534170 641004 801255 1068340 1602510 3205020