Search a number
-
+
204015024 = 243617491
BaseRepresentation
bin11000010100100…
…00010110110000
3112012220001000000
430022100112300
5404211440044
632124430000
75025045663
oct1412202660
9465801000
10204015024
11a5185564
12583a8300
1333361965
141d1496da
1512d9dd69
hexc2905b0

204015024 has 70 divisors (see below), whose sum is σ = 592681436. Its totient is φ = 68001120.

The previous prime is 204015017. The next prime is 204015101. The reversal of 204015024 is 420510402.

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 = 204014988 and 204015006.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2919 + ... + 20409.

Almost surely, 2204015024 is an apocalyptic number.

204015024 is a gapful number since it is divisible by the number (24) 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 204015024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296340718).

204015024 is an abundant number, since it is smaller than the sum of its proper divisors (388666412).

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

204015024 is an equidigital number, since it uses as much as digits as its factorization.

204015024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17517 (or 17496 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 204015024 is about 14283.3827926020. The cubic root of 204015024 is about 588.6909827653.

Adding to 204015024 its reverse (420510402), we get a palindrome (624525426).

It can be divided in two parts, 20401 and 5024, that added together give a triangular number (25425 = T225).

The spelling of 204015024 in words is "two hundred four million, fifteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 11664 17491 34982 52473 69964 104946 139928 157419 209892 279856 314838 419784 472257 629676 839568 944514 1259352 1416771 1889028 2518704 2833542 3778056 4250313 5667084 7556112 8500626 11334168 12750939 17001252 22668336 25501878 34002504 51003756 68005008 102007512 204015024