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138822000 = 24353171361
BaseRepresentation
bin10000100011001…
…00000101110000
3100200012212222120
420101210011300
5241014301000
621435234240
73303652602
oct1021440560
9320185876
10138822000
11713a8029
123a5a8980
13229b70c5
1414619172
15c2c26a0
hex8464170

138822000 has 160 divisors (see below), whose sum is σ = 474237504. Its totient is φ = 34816000.

The previous prime is 138821993. The next prime is 138822029. The reversal of 138822000 is 228831.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101320 + ... + 102680.

Almost surely, 2138822000 is an apocalyptic number.

138822000 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 138822000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237118752).

138822000 is an abundant number, since it is smaller than the sum of its proper divisors (335415504).

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

138822000 is a wasteful number, since it uses less digits than its factorization.

138822000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 138822000 is about 11782.2748228006. The cubic root of 138822000 is about 517.7889352441.

The spelling of 138822000 in words is "one hundred thirty-eight million, eight hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 60 68 75 80 85 100 102 120 125 136 150 170 200 204 240 250 255 272 300 340 375 400 408 425 500 510 600 680 750 816 850 1000 1020 1200 1275 1360 1361 1500 1700 2000 2040 2125 2550 2722 3000 3400 4080 4083 4250 5100 5444 6000 6375 6800 6805 8166 8500 10200 10888 12750 13610 16332 17000 20400 20415 21776 23137 25500 27220 32664 34000 34025 40830 46274 51000 54440 65328 68050 69411 81660 92548 102000 102075 108880 115685 136100 138822 163320 170125 185096 204150 231370 272200 277644 326640 340250 347055 370192 408300 462740 510375 544400 555288 578425 680500 694110 816600 925480 1020750 1110576 1156850 1361000 1388220 1633200 1735275 1850960 2041500 2313700 2722000 2776440 2892125 3470550 4083000 4627400 5552880 5784250 6941100 8166000 8676375 9254800 11568500 13882200 17352750 23137000 27764400 34705500 46274000 69411000 138822000