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138430422 = 232131722389
BaseRepresentation
bin10000100000001…
…00011111010110
3100122110222211200
420100010133112
5240414233142
621423013330
73300432144
oct1020043726
9318428750
10138430422
117115a909
123a43a246
13228aaac0
1414556594
15c24664c
hex84047d6

138430422 has 144 divisors (see below), whose sum is σ = 362063520. Its totient is φ = 37914624.

The previous prime is 138430403. The next prime is 138430423. The reversal of 138430422 is 224034831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138430423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1555354 + ... + 1555442.

It is an arithmetic number, because the mean of its divisors is an integer number (2514330).

Almost surely, 2138430422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138430422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181031760).

138430422 is an abundant number, since it is smaller than the sum of its proper divisors (223633098).

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

138430422 is a wasteful number, since it uses less digits than its factorization.

138430422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 138430422 is about 11765.6458386270. The cubic root of 138430422 is about 517.3016308948.

The spelling of 138430422 in words is "one hundred thirty-eight million, four hundred thirty thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 13 17 18 23 26 34 39 46 51 69 78 89 102 117 138 153 178 207 221 234 267 289 299 306 391 414 442 534 578 598 663 782 801 867 897 1157 1173 1326 1513 1602 1734 1794 1989 2047 2314 2346 2601 2691 3026 3471 3519 3757 3978 4094 4539 5083 5202 5382 6141 6647 6942 7038 7514 9078 10166 10413 11271 12282 13294 13617 15249 18423 19669 19941 20826 22542 25721 26611 27234 30498 33813 34799 36846 39338 39882 45747 51442 53222 59007 59823 67626 69598 77163 79833 86411 91494 104397 118014 119646 154326 159666 172822 177021 208794 231489 239499 259233 313191 334373 354042 452387 462978 478998 518466 591583 626382 668746 777699 904774 1003119 1183166 1357161 1555398 1774749 2006238 2714322 3009357 3549498 4071483 5324247 6018714 7690579 8142966 10648494 15381158 23071737 46143474 69215211 138430422