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12060400 = 2452112741
BaseRepresentation
bin101110000000…
…011011110000
3211200201202111
4232000123300
511041413100
61110255104
7204340342
oct56003360
924621674
1012060400
116898180
124057494
132663641
14185d292
1510d36ba
hexb806f0

12060400 has 60 divisors (see below), whose sum is σ = 31620744. Its totient is φ = 4384000.

The previous prime is 12060397. The next prime is 12060407. The reversal of 12060400 is 406021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12060407) 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, 3030 + ... + 5770.

Almost surely, 212060400 is an apocalyptic number.

12060400 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 12060400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15810372).

12060400 is an abundant number, since it is smaller than the sum of its proper divisors (19560344).

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

12060400 is a wasteful number, since it uses less digits than its factorization.

12060400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 12060400 is about 3472.8086615879. The cubic root of 12060400 is about 229.3263210704.

Adding to 12060400 its reverse (406021), we get a palindrome (12466421).

The spelling of 12060400 in words is "twelve million, sixty thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 2741 4400 5482 10964 13705 21928 27410 30151 43856 54820 60302 68525 109640 120604 137050 150755 219280 241208 274100 301510 482416 548200 603020 753775 1096400 1206040 1507550 2412080 3015100 6030200 12060400