Search a number
-
+
138171672 = 23322383437
BaseRepresentation
bin10000011110001…
…01010100011000
3100121222211220100
420033011110120
5240332443142
621413255400
73265303602
oct1017052430
9317884810
10138171672
1170aa3471
123a334560
132281a0b2
14144ca172
15c1e4b4c
hex83c5518

138171672 has 48 divisors (see below), whose sum is σ = 390489840. Its totient is φ = 44054208.

The previous prime is 138171661. The next prime is 138171673. The reversal of 138171672 is 276171831.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138171673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40063 + ... + 43374.

It is an arithmetic number, because the mean of its divisors is an integer number (8135205).

Almost surely, 2138171672 is an apocalyptic number.

138171672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138171672 is an abundant number, since it is smaller than the sum of its proper divisors (252318168).

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

138171672 is a wasteful number, since it uses less digits than its factorization.

138171672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83472 (or 83465 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 138171672 is about 11754.6446990115. The cubic root of 138171672 is about 516.9791216298.

The spelling of 138171672 in words is "one hundred thirty-eight million, one hundred seventy-one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 83437 166874 250311 333748 500622 667496 750933 1001244 1501866 1919051 2002488 3003732 3838102 5757153 6007464 7676204 11514306 15352408 17271459 23028612 34542918 46057224 69085836 138171672