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138506208 = 2531784869
BaseRepresentation
bin10000100000101…
…10111111100000
3100122121211210120
420100112333200
5240424144313
621424400240
73301166121
oct1020267740
9318554716
10138506208
1171201845
123a476080
1322906449
1414576048
15c25dd23
hex8416fe0

138506208 has 48 divisors (see below), whose sum is σ = 384970320. Its totient is φ = 43452416.

The previous prime is 138506201. The next prime is 138506243. The reversal of 138506208 is 802605831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138506201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40803 + ... + 44066.

It is an arithmetic number, because the mean of its divisors is an integer number (8020215).

Almost surely, 2138506208 is an apocalyptic number.

It is an amenable number.

138506208 is an abundant number, since it is smaller than the sum of its proper divisors (246464112).

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

138506208 is a wasteful number, since it uses less digits than its factorization.

138506208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84899 (or 84891 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 138506208 is about 11768.8660456307. The cubic root of 138506208 is about 517.3960154207.

The spelling of 138506208 in words is "one hundred thirty-eight million, five hundred six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 84869 169738 254607 339476 509214 678952 1018428 1357904 1442773 2036856 2715808 2885546 4073712 4328319 5771092 8147424 8656638 11542184 17313276 23084368 34626552 46168736 69253104 138506208