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138007230 = 23529415373
BaseRepresentation
bin10000011100111…
…01001010111110
3100121200111022220
420032131022332
5240312212410
621405550210
73264020304
oct1016351276
9317614286
10138007230
11709a0969
123a275366
13227902aa
1414486274
15c1b1070
hex839d2be

138007230 has 128 divisors (see below), whose sum is σ = 362517120. Its totient is φ = 33546240.

The previous prime is 138007213. The next prime is 138007231. The reversal of 138007230 is 32700831.

138007230 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 138007230.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138007231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1890474 + ... + 1890546.

It is an arithmetic number, because the mean of its divisors is an integer number (2832165).

Almost surely, 2138007230 is an apocalyptic number.

138007230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138007230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181258560).

138007230 is an abundant number, since it is smaller than the sum of its proper divisors (224509890).

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

138007230 is a wasteful number, since it uses less digits than its factorization.

138007230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 138007230 is about 11747.6478496761. The cubic root of 138007230 is about 516.7739497416.

The spelling of 138007230 in words is "one hundred thirty-eight million, seven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 41 53 58 73 82 87 106 123 145 146 159 174 205 219 246 265 290 318 365 410 435 438 530 615 730 795 870 1095 1189 1230 1537 1590 2117 2173 2190 2378 2993 3074 3567 3869 4234 4346 4611 5945 5986 6351 6519 7134 7685 7738 8979 9222 10585 10865 11607 11890 12702 13038 14965 15370 17835 17958 19345 21170 21730 23055 23214 29930 31755 32595 35670 38690 44895 46110 58035 63017 63510 65190 86797 89790 112201 116070 126034 158629 173594 189051 224402 260391 315085 317258 336603 378102 433985 475887 520782 561005 630170 673206 793145 867970 945255 951774 1122010 1301955 1586290 1683015 1890510 2379435 2603910 3366030 4600241 4758870 9200482 13800723 23001205 27601446 46002410 69003615 138007230