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12380600 = 2352103601
BaseRepresentation
bin101111001110…
…100110111000
3212021222222202
4233032212320
511132134400
61121205332
7210143021
oct57164670
925258882
1012380600
116a96801
124190848
1327462cb
141903c48
1511484d5
hexbce9b8

12380600 has 48 divisors (see below), whose sum is σ = 29112720. Its totient is φ = 4896000.

The previous prime is 12380597. The next prime is 12380611. The reversal of 12380600 is 608321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20300 + ... + 20900.

It is an arithmetic number, because the mean of its divisors is an integer number (606515).

Almost surely, 212380600 is an apocalyptic number.

12380600 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 12380600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14556360).

12380600 is an abundant number, since it is smaller than the sum of its proper divisors (16732120).

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

12380600 is a wasteful number, since it uses less digits than its factorization.

12380600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 12380600 is about 3518.6076791822. The cubic root of 12380600 is about 231.3381353848.

Adding to 12380600 its reverse (608321), we get a palindrome (12988921).

The spelling of 12380600 in words is "twelve million, three hundred eighty thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 200 206 412 515 601 824 1030 1202 2060 2404 2575 3005 4120 4808 5150 6010 10300 12020 15025 20600 24040 30050 60100 61903 120200 123806 247612 309515 495224 619030 1238060 1547575 2476120 3095150 6190300 12380600