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12380000 = 2554619
BaseRepresentation
bin101111001110…
…011101100000
3212021222011112
4233032131200
511132130000
61121202452
7210141203
oct57163540
925258145
1012380000
116a96306
124190428
132745c59
14190393a
151148235
hexbce760

12380000 has 60 divisors (see below), whose sum is σ = 30505860. Its totient is φ = 4944000.

The previous prime is 12379987. The next prime is 12380009. The reversal of 12380000 is 8321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12380009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19691 + ... + 20309.

It is an arithmetic number, because the mean of its divisors is an integer number (508431).

Almost surely, 212380000 is an apocalyptic number.

12380000 is a gapful number since it is divisible by the number (10) 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 12380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15252930).

12380000 is an abundant number, since it is smaller than the sum of its proper divisors (18125860).

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

12380000 is an frugal number, since it uses more digits than its factorization.

12380000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 12380000 is about 3518.5224171518. The cubic root of 12380000 is about 231.3343982175.

Adding to 12380000 its reverse (8321), we get a palindrome (12388321).

The spelling of 12380000 in words is "twelve million, three hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 619 625 800 1000 1238 1250 2000 2476 2500 3095 4000 4952 5000 6190 9904 10000 12380 15475 19808 20000 24760 30950 49520 61900 77375 99040 123800 154750 247600 309500 386875 495200 619000 773750 1238000 1547500 2476000 3095000 6190000 12380000