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1330451136 = 26337219827
BaseRepresentation
bin100111101001101…
…0001001011000000
310102201110220212000
41033103101023000
510211043414021
6340004104000
744653435200
oct11723211300
93381426760
101330451136
116230066a3
12311695000
1318283a3c1
14c89aa400
157bc07b26
hex4f4d12c0

1330451136 has 336 divisors, whose sum is σ = 4795113600. Its totient is φ = 359686656.

The previous prime is 1330451131. The next prime is 1330451141. The reversal of 1330451136 is 6311540331.

It is an interprime number because it is at equal distance from previous prime (1330451131) and next prime (1330451141).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1330451131) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1608355 + ... + 1609181.

Almost surely, 21330451136 is an apocalyptic number.

1330451136 is a gapful number since it is divisible by the number (16) 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 1330451136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397556800).

1330451136 is an abundant number, since it is smaller than the sum of its proper divisors (3464662464).

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

1330451136 is a wasteful number, since it uses less digits than its factorization.

1330451136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1330451136 is about 36475.3497036012. The cubic root of 1330451136 is about 1099.8487770076.

Adding to 1330451136 its reverse (6311540331), we get a palindrome (7641991467).

The spelling of 1330451136 in words is "one billion, three hundred thirty million, four hundred fifty-one thousand, one hundred thirty-six".