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1200003420 = 22357112111231
BaseRepresentation
bin100011110000110…
…1001100101011100
310002122000111020010
41013201221211130
54424200102140
6315024123220
741510601150
oct10741514534
93078014203
101200003420
11566409370
12295a66510
131617c5bc5
14b5531060
157053b880
hex4786995c

1200003420 has 192 divisors, whose sum is σ = 4212375552. Its totient is φ = 247968000.

The previous prime is 1200003359. The next prime is 1200003421. The reversal of 1200003420 is 243000021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1200003396 and 1200003405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200003421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 974205 + ... + 975435.

It is an arithmetic number, because the mean of its divisors is an integer number (21939456).

Almost surely, 21200003420 is an apocalyptic number.

1200003420 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 1200003420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106187776).

1200003420 is an abundant number, since it is smaller than the sum of its proper divisors (3012372132).

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

1200003420 is a wasteful number, since it uses less digits than its factorization.

1200003420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1200003420 is about 34641.0655147904. The cubic root of 1200003420 is about 1062.6595787073.

Adding to 1200003420 its reverse (243000021), we get a palindrome (1443003441).

The spelling of 1200003420 in words is "one billion, two hundred million, three thousand, four hundred twenty".