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1337303727 = 32184780449
BaseRepresentation
bin100111110110101…
…1010001010101111
310110012101001211200
41033231122022233
510214322204402
6340411020543
745065615454
oct11755321257
93405331750
101337303727
116269670a1
12313a3a753
131840994a6
14c987182b
157c60d21c
hex4fb5a2af

1337303727 has 12 divisors (see below), whose sum is σ = 1932730800. Its totient is φ = 891042048.

The previous prime is 1337303713. The next prime is 1337303729. The reversal of 1337303727 is 7273037331.

It is a happy number.

It is not a de Polignac number, because 1337303727 - 26 = 1337303663 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1337303691 and 1337303700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1337303729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23602 + ... + 56847.

It is an arithmetic number, because the mean of its divisors is an integer number (161060900).

Almost surely, 21337303727 is an apocalyptic number.

1337303727 is a deficient number, since it is larger than the sum of its proper divisors (595427073).

1337303727 is a wasteful number, since it uses less digits than its factorization.

1337303727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82302 (or 82299 counting only the distinct ones).

The product of its (nonzero) digits is 55566, while the sum is 36.

The square root of 1337303727 is about 36569.1636081549. The cubic root of 1337303727 is about 1101.7338295986.

The spelling of 1337303727 in words is "one billion, three hundred thirty-seven million, three hundred three thousand, seven hundred twenty-seven".

Divisors: 1 3 9 1847 5541 16623 80449 241347 724041 148589303 445767909 1337303727