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1383670080 = 263351397127
BaseRepresentation
bin101001001111001…
…0010000101000000
310120102121201112000
41102132102011000
510313204420310
6345144504000
746201000362
oct12236220500
93512551460
101383670080
116500558a1
1232747b000
131908819c0
14d1aa0d32
158171b4c0
hex52792140

1383670080 has 448 divisors, whose sum is σ = 5352775680. Its totient is φ = 334430208.

The previous prime is 1383670063. The next prime is 1383670109. The reversal of 1383670080 is 800763831.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10894977 + ... + 10895103.

It is an arithmetic number, because the mean of its divisors is an integer number (11948160).

Almost surely, 21383670080 is an apocalyptic number.

1383670080 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 1383670080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2676387840).

1383670080 is an abundant number, since it is smaller than the sum of its proper divisors (3969105600).

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

1383670080 is a wasteful number, since it uses less digits than its factorization.

1383670080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1383670080 is about 37197.7160589195. The cubic root of 1383670080 is about 1114.3223724204.

The spelling of 1383670080 in words is "one billion, three hundred eighty-three million, six hundred seventy thousand, eighty".