Search a number
-
+
12305400 = 2335220509
BaseRepresentation
bin101110111100…
…001111111000
3212011011211120
4232330033320
511122233100
61115425240
7206410542
oct56741770
925134746
1012305400
116a45258
124155220
13271b003
1418c4692
1511310a0
hexbbc3f8

12305400 has 48 divisors (see below), whose sum is σ = 38148600. Its totient is φ = 3281280.

The previous prime is 12305383. The next prime is 12305401. The reversal of 12305400 is 450321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12305400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12305401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9655 + ... + 10854.

Almost surely, 212305400 is an apocalyptic number.

12305400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12305400 is an abundant number, since it is smaller than the sum of its proper divisors (25843200).

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

12305400 is a wasteful number, since it uses less digits than its factorization.

12305400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20528 (or 20519 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 12305400 is about 3507.9053579023. The cubic root of 12305400 is about 230.8687997683.

Adding to 12305400 its reverse (450321), we get a palindrome (12755721).

The spelling of 12305400 in words is "twelve million, three hundred five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 20509 41018 61527 82036 102545 123054 164072 205090 246108 307635 410180 492216 512725 615270 820360 1025450 1230540 1538175 2050900 2461080 3076350 4101800 6152700 12305400