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138067300 = 225272191483
BaseRepresentation
bin10000011101010…
…11110101100100
3100121210112201201
420032223311210
5240321123200
621411132244
73264360400
oct1016536544
9317715651
10138067300
1170a32008
123a2a4084
13227b1737
14144a0100
15c1c3c6a
hex83abd64

138067300 has 108 divisors (see below), whose sum is σ = 367111920. Its totient is φ = 44815680.

The previous prime is 138067297. The next prime is 138067301. The reversal of 138067300 is 3760831.

138067300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (138067301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 92359 + ... + 93841.

Almost surely, 2138067300 is an apocalyptic number.

138067300 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 138067300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183555960).

138067300 is an abundant number, since it is smaller than the sum of its proper divisors (229044620).

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

138067300 is a wasteful number, since it uses less digits than its factorization.

138067300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 138067300 is about 11750.2042535439. The cubic root of 138067300 is about 516.8489170901.

The spelling of 138067300 in words is "one hundred thirty-eight million, sixty-seven thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 49 50 70 76 95 98 100 133 140 175 190 196 245 266 350 380 475 490 532 665 700 931 950 980 1225 1330 1483 1862 1900 2450 2660 2966 3325 3724 4655 4900 5932 6650 7415 9310 10381 13300 14830 18620 20762 23275 28177 29660 37075 41524 46550 51905 56354 72667 74150 93100 103810 112708 140885 145334 148300 197239 207620 259525 281770 290668 363335 394478 519050 563540 704425 726670 788956 986195 1038100 1380673 1408850 1453340 1816675 1972390 2761346 2817700 3633350 3944780 4930975 5522692 6903365 7266700 9861950 13806730 19723900 27613460 34516825 69033650 138067300