Search a number
-
+
138167046 = 2342773079
BaseRepresentation
bin10000011110001…
…00001100000110
3100121222121120000
420033010030012
5240332321141
621413222130
73265254243
oct1017041406
9317877500
10138167046
1170a9aa46
123a331946
1322817c64
14144c85ca
15c1e35b6
hex83c4306

138167046 has 40 divisors (see below), whose sum is σ = 310815120. Its totient is φ = 45874512.

The previous prime is 138167023. The next prime is 138167047. The reversal of 138167046 is 640761831.

138167046 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1381670462 = 38180265200732232, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 138167046.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138167047) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43335 + ... + 46413.

It is an arithmetic number, because the mean of its divisors is an integer number (7770378).

Almost surely, 2138167046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138167046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155407560).

138167046 is an abundant number, since it is smaller than the sum of its proper divisors (172648074).

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

138167046 is a wasteful number, since it uses less digits than its factorization.

138167046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3370 (or 3361 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 138167046 is about 11754.4479240839. The cubic root of 138167046 is about 516.9733520629.

The spelling of 138167046 in words is "one hundred thirty-eight million, one hundred sixty-seven thousand, forty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 277 554 831 1662 2493 3079 4986 6158 7479 9237 14958 18474 22437 27711 44874 55422 83133 166266 249399 498798 852883 1705766 2558649 5117298 7675947 15351894 23027841 46055682 69083523 138167046