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138243000 = 23353729227
BaseRepresentation
bin10000011110101…
…10101110111000
3100122010110202010
420033112232320
5240342234000
621415005520
73266021550
oct1017265670
9318113663
10138243000
1171042015
123a3698a0
13228436bc
1414508160
15c20ad50
hex83d6bb8

138243000 has 256 divisors, whose sum is σ = 512179200. Its totient is φ = 30374400.

The previous prime is 138242999. The next prime is 138243113. The reversal of 138243000 is 342831.

It is a happy number.

It is a super-2 number, since 2×1382430002 = 38222254098000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 608887 + ... + 609113.

It is an arithmetic number, because the mean of its divisors is an integer number (2000700).

Almost surely, 2138243000 is an apocalyptic number.

138243000 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 138243000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256089600).

138243000 is an abundant number, since it is smaller than the sum of its proper divisors (373936200).

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

138243000 is a wasteful number, since it uses less digits than its factorization.

138243000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 138243000 is about 11757.6783422579. The cubic root of 138243000 is about 517.0680659186.

Adding to 138243000 its reverse (342831), we get a palindrome (138585831).

The spelling of 138243000 in words is "one hundred thirty-eight million, two hundred forty-three thousand".