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1369420800 = 210352111621
BaseRepresentation
bin101000110011111…
…1011010000000000
310112102210210011220
41101213323100000
510301032431200
6343515235040
745635612316
oct12147732000
93472723156
101369420800
11643003130
12322748a80
1318a932c87
14cdc320b6
15803544a0
hex519fb400

1369420800 has 264 divisors, whose sum is σ = 4940508192. Its totient is φ = 331776000.

The previous prime is 1369420799. The next prime is 1369420817. The reversal of 1369420800 is 80249631.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 843990 + ... + 845610.

Almost surely, 21369420800 is an apocalyptic number.

1369420800 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 1369420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470254096).

1369420800 is an abundant number, since it is smaller than the sum of its proper divisors (3571087392).

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

1369420800 is a wasteful number, since it uses less digits than its factorization.

1369420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 1369420800 is about 37005.6860495789. The cubic root of 1369420800 is about 1110.4840028691.

The spelling of 1369420800 in words is "one billion, three hundred sixty-nine million, four hundred twenty thousand, eight hundred".