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1332527364 = 223272755401
BaseRepresentation
bin100111101101100…
…1100000100000100
310102212101101220100
41033123030010010
510212111333424
6340120404100
745010203300
oct11733140404
93385341810
101332527364
116241a4593
12312316630
131830b643c
14c8d8ad00
157beb7dc9
hex4f6cc104

1332527364 has 54 divisors (see below), whose sum is σ = 3918270174. Its totient is φ = 380721600.

The previous prime is 1332527363. The next prime is 1332527381. The reversal of 1332527364 is 4637252331.

1332527364 is a `hidden beast` number, since 1 + 3 + 325 + 273 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 686859264 + 645668100 = 26208^2 + 25410^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1332527363) 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 17 ways as a sum of consecutive naturals, for example, 375937 + ... + 379464.

Almost surely, 21332527364 is an apocalyptic number.

1332527364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1332527364 is an abundant number, since it is smaller than the sum of its proper divisors (2585742810).

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

1332527364 is a wasteful number, since it uses less digits than its factorization.

1332527364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755425 (or 755413 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 1332527364 is about 36503.7993091130. The cubic root of 1332527364 is about 1100.4206005894.

Adding to 1332527364 its reverse (4637252331), we get a palindrome (5969779695).

The spelling of 1332527364 in words is "one billion, three hundred thirty-two million, five hundred twenty-seven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 755401 1510802 2266203 3021604 4532406 5287807 6798609 9064812 10575614 13597218 15863421 21151228 27194436 31726842 37014649 47590263 63453684 74029298 95180526 111043947 148058596 190361052 222087894 333131841 444175788 666263682 1332527364