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138272238 = 23313613229
BaseRepresentation
bin10000011110111…
…01110111101110
3100122011221212000
420033131313232
5240344202423
621415353130
73266203026
oct1017356756
9318157760
10138272238
1171061a85
123a3827a6
1322853ac0
1414514a86
15c214843
hex83dddee

138272238 has 64 divisors (see below), whose sum is σ = 336436800. Its totient is φ = 41834880.

The previous prime is 138272231. The next prime is 138272243. The reversal of 138272238 is 832272831.

It is a happy number.

138272238 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138272231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41208 + ... + 44436.

It is an arithmetic number, because the mean of its divisors is an integer number (5256825).

Almost surely, 2138272238 is an apocalyptic number.

138272238 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138272238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168218400).

138272238 is an abundant number, since it is smaller than the sum of its proper divisors (198164562).

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

138272238 is a wasteful number, since it uses less digits than its factorization.

138272238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3314 (or 3308 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 138272238 is about 11758.9216342316. The cubic root of 138272238 is about 517.1045161558.

The spelling of 138272238 in words is "one hundred thirty-eight million, two hundred seventy-two thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 61 78 117 122 183 234 351 366 549 702 793 1098 1586 1647 2379 3229 3294 4758 6458 7137 9687 14274 19374 21411 29061 41977 42822 58122 83954 87183 125931 174366 196969 251862 377793 393938 590907 755586 1133379 1181814 1772721 2266758 2560597 3545442 5121194 5318163 7681791 10636326 15363582 23045373 46090746 69136119 138272238