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1420003200 = 2735271117113
BaseRepresentation
bin101010010100011…
…1000011110000000
310122221222122012010
41110220320132000
510402010100300
6352523332520
750121554010
oct12450703600
93587878163
101420003200
11669611470
12337681140
131982634a5
14d683bc40
15849e6a50
hex54a38780

1420003200 has 768 divisors, whose sum is σ = 6228887040. Its totient is φ = 275251200.

The previous prime is 1420003199. The next prime is 1420003231. The reversal of 1420003200 is 23000241.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12566344 + ... + 12566456.

It is an arithmetic number, because the mean of its divisors is an integer number (8110530).

Almost surely, 21420003200 is an apocalyptic number.

1420003200 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 1420003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3114443520).

1420003200 is an abundant number, since it is smaller than the sum of its proper divisors (4808883840).

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

1420003200 is a wasteful number, since it uses less digits than its factorization.

1420003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 158 counting only the distinct ones).

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

The square root of 1420003200 is about 37682.9298224010. The cubic root of 1420003200 is about 1123.9917089260.

Adding to 1420003200 its reverse (23000241), we get a palindrome (1443003441).

The spelling of 1420003200 in words is "one billion, four hundred twenty million, three thousand, two hundred".