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138557300 = 22527228277
BaseRepresentation
bin10000100001000…
…11011101110100
3100122201102212212
420100203131310
5240432313200
621425432552
73301501100
oct1020433564
9318642785
10138557300
1171237172
123a49b758
132292378b
141458a900
15c26e035
hex8423774

138557300 has 54 divisors (see below), whose sum is σ = 349770582. Its totient is φ = 47503680.

The previous prime is 138557297. The next prime is 138557303. The reversal of 138557300 is 3755831.

It is an interprime number because it is at equal distance from previous prime (138557297) and next prime (138557303).

It can be written as a sum of positive squares in 3 ways, for example, as 4831204 + 133726096 = 2198^2 + 11564^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138557303) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9239 + ... + 19038.

It is an arithmetic number, because the mean of its divisors is an integer number (6477233).

Almost surely, 2138557300 is an apocalyptic number.

138557300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138557300 is an abundant number, since it is smaller than the sum of its proper divisors (211213282).

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

138557300 is a wasteful number, since it uses less digits than its factorization.

138557300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28305 (or 28291 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 138557300 is about 11771.0364879224. The cubic root of 138557300 is about 517.4596264021.

It can be divided in two parts, 1385 and 57300, that added together give a palindrome (58685).

The spelling of 138557300 in words is "one hundred thirty-eight million, five hundred fifty-seven thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 28277 56554 113108 141385 197939 282770 395878 565540 706925 791756 989695 1385573 1413850 1979390 2771146 2827700 3958780 4948475 5542292 6927865 9896950 13855730 19793900 27711460 34639325 69278650 138557300