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138267104 = 2519713203
BaseRepresentation
bin10000011110111…
…00100111100000
3100122011200210212
420033130213200
5240344021404
621415313252
73266152043
oct1017344740
9318150725
10138267104
1171059138
123a37b828
1322851671
1414512c5a
15c21306e
hex83dc9e0

138267104 has 48 divisors (see below), whose sum is σ = 290666880. Its totient is φ = 64552320.

The previous prime is 138267061. The next prime is 138267109. The reversal of 138267104 is 401762831.

138267104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138267109) 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 7 ways as a sum of consecutive naturals, for example, 41567 + ... + 44769.

It is an arithmetic number, because the mean of its divisors is an integer number (6055560).

Almost surely, 2138267104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138267104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145333440).

138267104 is an abundant number, since it is smaller than the sum of its proper divisors (152399776).

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

138267104 is a wasteful number, since it uses less digits than its factorization.

138267104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3303 (or 3295 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 138267104 is about 11758.7033298744. The cubic root of 138267104 is about 517.0981161065.

It can be divided in two parts, 1382 and 67104, that added together give a palindrome (68486).

The spelling of 138267104 in words is "one hundred thirty-eight million, two hundred sixty-seven thousand, one hundred four".

Divisors: 1 2 4 8 16 19 32 38 71 76 142 152 284 304 568 608 1136 1349 2272 2698 3203 5396 6406 10792 12812 21584 25624 43168 51248 60857 102496 121714 227413 243428 454826 486856 909652 973712 1819304 1947424 3638608 4320847 7277216 8641694 17283388 34566776 69133552 138267104