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138506038 = 211217131257
BaseRepresentation
bin10000100000101…
…10111100110110
3100122121211120021
420100112330312
5240424143123
621424355354
73301165456
oct1020267466
9318554507
10138506038
1171201700
123a475b5a
1322906348
1414575d66
15c25dc5d
hex8416f36

138506038 has 48 divisors (see below), whose sum is σ = 244590192. Its totient is φ = 58572800.

The previous prime is 138506033. The next prime is 138506111. The reversal of 138506038 is 830605831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 138505994 and 138506012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138506033) 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 23 ways as a sum of consecutive naturals, for example, 538806 + ... + 539062.

It is an arithmetic number, because the mean of its divisors is an integer number (5095629).

Almost surely, 2138506038 is an apocalyptic number.

138506038 is a deficient number, since it is larger than the sum of its proper divisors (106084154).

138506038 is a wasteful number, since it uses less digits than its factorization.

138506038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 138506038 is about 11768.8588231825. The cubic root of 138506038 is about 517.3958037398.

The spelling of 138506038 in words is "one hundred thirty-eight million, five hundred six thousand, thirty-eight".

Divisors: 1 2 11 17 22 34 121 131 187 242 257 262 374 514 1441 2057 2227 2827 2882 4114 4369 4454 5654 8738 15851 24497 31097 31702 33667 48059 48994 62194 67334 96118 269467 370337 528649 538934 572339 740674 1057298 1144678 4073707 6295729 8147414 12591458 69253019 138506038