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1075638132 = 223261489817
BaseRepresentation
bin100000000011100…
…1110111101110100
32202222000002010100
41000013032331310
54200330410012
6254422354100
735440526142
oct10007167564
92688002110
101075638132
11502195938
1226028b930
13141b0108a
14a2bda592
15646728dc
hex401cef74

1075638132 has 36 divisors (see below), whose sum is σ = 2763553156. Its totient is φ = 352667520.

The previous prime is 1075638131. The next prime is 1075638139. The reversal of 1075638132 is 2318365701.

1075638132 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 638 + 13 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37896336 + 1037741796 = 6156^2 + 32214^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1075638131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 242713 + ... + 247104.

Almost surely, 21075638132 is an apocalyptic number.

1075638132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1075638132 is an abundant number, since it is smaller than the sum of its proper divisors (1687915024).

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

1075638132 is a wasteful number, since it uses less digits than its factorization.

1075638132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489888 (or 489883 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1075638132 is about 32796.9225995367. The cubic root of 1075638132 is about 1024.6024655513.

The spelling of 1075638132 in words is "one billion, seventy-five million, six hundred thirty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 489817 979634 1469451 1959268 2938902 4408353 5877804 8816706 17633412 29878837 59757674 89636511 119515348 179273022 268909533 358546044 537819066 1075638132