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138822112 = 251113231319
BaseRepresentation
bin10000100011001…
…00000111100000
3100200012220010201
420101210013200
5241014301422
621435234544
73303653122
oct1021440740
9320186121
10138822112
11713a8120
123a5a8a54
13229b7180
1414619212
15c2c2727
hex84641e0

138822112 has 96 divisors (see below), whose sum is σ = 335301120. Its totient is φ = 55672320.

The previous prime is 138822107. The next prime is 138822127. The reversal of 138822112 is 211228831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104589 + ... + 105907.

It is an arithmetic number, because the mean of its divisors is an integer number (3492720).

Almost surely, 2138822112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138822112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167650560).

138822112 is an abundant number, since it is smaller than the sum of its proper divisors (196479008).

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

138822112 is a wasteful number, since it uses less digits than its factorization.

138822112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1368 counting only the distinct ones).

The product of its digits is 1536, while the sum is 28.

The square root of 138822112 is about 11782.2795757018. The cubic root of 138822112 is about 517.7890744928.

The spelling of 138822112 in words is "one hundred thirty-eight million, eight hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 23 26 32 44 46 52 88 92 104 143 176 184 208 253 286 299 352 368 416 506 572 598 736 1012 1144 1196 1319 2024 2288 2392 2638 3289 4048 4576 4784 5276 6578 8096 9568 10552 13156 14509 17147 21104 26312 29018 30337 34294 42208 52624 58036 60674 68588 105248 116072 121348 137176 188617 232144 242696 274352 333707 377234 394381 464288 485392 548704 667414 754468 788762 970784 1334828 1508936 1577524 2669656 3017872 3155048 4338191 5339312 6035744 6310096 8676382 10678624 12620192 17352764 34705528 69411056 138822112