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1563000138 = 23472196901
BaseRepresentation
bin101110100101001…
…0111110101001010
311000221001122010000
41131022113311022
511200112001023
6415032303430
753506165500
oct13512276512
94027048100
101563000138
11732300157
12377541b76
131bba7c96b
1410b822670
1592341243
hex5d297d4a

1563000138 has 60 divisors (see below), whose sum is σ = 4074099282. Its totient is φ = 446569200.

The previous prime is 1563000137. The next prime is 1563000151. The reversal of 1563000138 is 8310003651.

1563000138 is a `hidden beast` number, since 15 + 630 + 0 + 0 + 13 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1386296289 + 176703849 = 37233^2 + 13293^2 .

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 (1563000137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 90513 + ... + 106388.

Almost surely, 21563000138 is an apocalyptic number.

1563000138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1563000138 is an abundant number, since it is smaller than the sum of its proper divisors (2511099144).

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

1563000138 is a wasteful number, since it uses less digits than its factorization.

1563000138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196929 (or 196913 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1563000138 is about 39534.7965468396. The cubic root of 1563000138 is about 1160.5210050598.

Adding to 1563000138 its reverse (8310003651), we get a palindrome (9873003789).

The spelling of 1563000138 in words is "one billion, five hundred sixty-three million, one hundred thirty-eight", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 882 1134 1323 2646 3969 7938 196901 393802 590703 1181406 1378307 1772109 2756614 3544218 4134921 5316327 8269842 9648149 10632654 12404763 15948981 19296298 24809526 28944447 31897962 37214289 57888894 74428578 86833341 111642867 173666682 223285734 260500023 521000046 781500069 1563000138