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138231000 = 23325315359
BaseRepresentation
bin10000011110100…
…11110011011000
3100122002212021200
420033103303120
5240341343000
621414434200
73265641555
oct1017236330
9318085250
10138231000
1171033aa6
123a362960
132283b0bb
1414503a2c
15c207500
hex83d3cd8

138231000 has 96 divisors (see below), whose sum is σ = 467251200. Its totient is φ = 36859200.

The previous prime is 138230999. The next prime is 138231007. The reversal of 138231000 is 132831.

138231000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1382310002 = 38215618722000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138231007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1321 + ... + 16679.

It is an arithmetic number, because the mean of its divisors is an integer number (4867200).

Almost surely, 2138231000 is an apocalyptic number.

138231000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233625600).

138231000 is an abundant number, since it is smaller than the sum of its proper divisors (329020200).

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

138231000 is a wasteful number, since it uses less digits than its factorization.

138231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15386 (or 15369 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 138231000 is about 11757.1680263574. The cubic root of 138231000 is about 517.0531043501.

Adding to 138231000 its reverse (132831), we get a palindrome (138363831).

The spelling of 138231000 in words is "one hundred thirty-eight million, two hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 15359 30718 46077 61436 76795 92154 122872 138231 153590 184308 230385 276462 307180 368616 383975 460770 552924 614360 691155 767950 921540 1105848 1151925 1382310 1535900 1843080 1919875 2303850 2764620 3071800 3455775 3839750 4607700 5529240 5759625 6911550 7679500 9215400 11519250 13823100 15359000 17278875 23038500 27646200 34557750 46077000 69115500 138231000