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138362427 = 327419337
BaseRepresentation
bin10000011111100…
…11111000111011
3100122100112120100
420033303320323
5240410044202
621421330443
73300030000
oct1017637073
9318315510
10138362427
1171113815
123a406a23
1322885b78
14145398a7
15c23141c
hex83f3e3b

138362427 has 60 divisors (see below), whose sum is σ = 246151880. Its totient is φ = 74680704.

The previous prime is 138362423. The next prime is 138362431. The reversal of 138362427 is 724263831.

It is a happy number.

138362427 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 624 + 27 = 666.

It is an interprime number because it is at equal distance from previous prime (138362423) and next prime (138362431).

It is not a de Polignac number, because 138362427 - 22 = 138362423 is a prime.

It is a super-2 number, since 2×1383624272 = 38288322410660658, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 138362391 and 138362400.

It is not an unprimeable number, because it can be changed into a prime (138362423) 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 59 ways as a sum of consecutive naturals, for example, 410403 + ... + 410739.

Almost surely, 2138362427 is an apocalyptic number.

138362427 is a deficient number, since it is larger than the sum of its proper divisors (107789453).

138362427 is an equidigital number, since it uses as much as digits as its factorization.

138362427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 366 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 138362427 is about 11762.7559270776. The cubic root of 138362427 is about 517.2169200236.

The spelling of 138362427 in words is "one hundred thirty-eight million, three hundred sixty-two thousand, four hundred twenty-seven".

Divisors: 1 3 7 9 19 21 49 57 63 133 147 171 337 343 399 441 931 1011 1029 1197 2359 2401 2793 3033 3087 6403 6517 7077 7203 8379 16513 19209 19551 21231 21609 44821 45619 49539 57627 58653 115591 134463 136857 148617 313747 346773 403389 410571 809137 941241 1040319 2196229 2427411 2823723 6588687 7282233 15373603 19766061 46120809 138362427