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1420705200 = 2435231181211
BaseRepresentation
bin101010010101110…
…0011110110110000
310200000022022011010
41110223203312300
510402200031300
6352550350520
750130536445
oct12453436660
93600268133
101420705200
11669a50932
1233795b440
1319844ab85
14d69819cc
1584ad4a50
hex54ae3db0

1420705200 has 240 divisors, whose sum is σ = 4746140672. Its totient is φ = 362880000.

The previous prime is 1420705171. The next prime is 1420705213. The reversal of 1420705200 is 25070241.

1420705200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6733095 + ... + 6733305.

Almost surely, 21420705200 is an apocalyptic number.

1420705200 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 1420705200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373070336).

1420705200 is an abundant number, since it is smaller than the sum of its proper divisors (3325435472).

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

1420705200 is a wasteful number, since it uses less digits than its factorization.

1420705200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 1420705200 is about 37692.2432338538. The cubic root of 1420705200 is about 1124.1768991637.

Adding to 1420705200 its reverse (25070241), we get a palindrome (1445775441).

The spelling of 1420705200 in words is "one billion, four hundred twenty million, seven hundred five thousand, two hundred".