Search a number
-
+
3232020 = 2235115983
BaseRepresentation
bin1100010101000100010100
320002012111110
430111010110
51311411040
6153135020
736320541
oct14250424
96065443
103232020
1119082a0
1210ba470
1389214c
14601bc8
1543c980
hex315114

3232020 has 96 divisors (see below), whose sum is σ = 10160640. Its totient is φ = 760960.

The previous prime is 3232003. The next prime is 3232027. The reversal of 3232020 is 202323.

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

It is a junction number, because it is equal to n+sod(n) for n = 3231987 and 3232005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3232027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38899 + ... + 38981.

It is an arithmetic number, because the mean of its divisors is an integer number (105840).

Almost surely, 23232020 is an apocalyptic number.

3232020 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 3232020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080320).

3232020 is an abundant number, since it is smaller than the sum of its proper divisors (6928620).

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

3232020 is a wasteful number, since it uses less digits than its factorization.

3232020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 3232020 is about 1797.7819667579. The cubic root of 3232020 is about 147.8511408065.

Adding to 3232020 its reverse (202323), we get a palindrome (3434343).

The spelling of 3232020 in words is "three million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 59 60 66 83 110 118 132 165 166 177 220 236 249 295 330 332 354 415 498 590 649 660 708 830 885 913 996 1180 1245 1298 1660 1770 1826 1947 2490 2596 2739 3245 3540 3652 3894 4565 4897 4980 5478 6490 7788 9130 9735 9794 10956 12980 13695 14691 18260 19470 19588 24485 27390 29382 38940 48970 53867 54780 58764 73455 97940 107734 146910 161601 215468 269335 293820 323202 538670 646404 808005 1077340 1616010 3232020