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138215000 = 2354711359
BaseRepresentation
bin10000011110011…
…11111001011000
3100122002001100002
420033033321120
5240340340000
621414232132
73265544120
oct1017177130
9318061302
10138215000
1171022a80
123a355648
1322833a31
14144dbc80
15c2028d5
hex83cfe58

138215000 has 160 divisors (see below), whose sum is σ = 404870400. Its totient is φ = 42960000.

The previous prime is 138214991. The next prime is 138215023. The reversal of 138215000 is 512831.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 384821 + ... + 385179.

It is an arithmetic number, because the mean of its divisors is an integer number (2530440).

Almost surely, 2138215000 is an apocalyptic number.

138215000 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 138215000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202435200).

138215000 is an abundant number, since it is smaller than the sum of its proper divisors (266655400).

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

138215000 is a wasteful number, since it uses less digits than its factorization.

138215000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 138215000 is about 11756.4875706990. The cubic root of 138215000 is about 517.0331542452.

Adding to 138215000 its reverse (512831), we get a palindrome (138727831).

The spelling of 138215000 in words is "one hundred thirty-eight million, two hundred fifteen thousand".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 125 140 154 175 200 220 250 275 280 308 350 359 385 440 500 550 616 625 700 718 770 875 1000 1100 1250 1375 1400 1436 1540 1750 1795 1925 2200 2500 2513 2750 2872 3080 3500 3590 3850 3949 4375 5000 5026 5500 6875 7000 7180 7700 7898 8750 8975 9625 10052 11000 12565 13750 14360 15400 15796 17500 17950 19250 19745 20104 25130 27500 27643 31592 35000 35900 38500 39490 44875 48125 50260 55000 55286 62825 71800 77000 78980 89750 96250 98725 100520 110572 125650 138215 157960 179500 192500 197450 221144 224375 251300 276430 314125 359000 385000 394900 448750 493625 502600 552860 628250 691075 789800 897500 987250 1105720 1256500 1382150 1570625 1795000 1974500 2468125 2513000 2764300 3141250 3455375 3949000 4936250 5528600 6282500 6910750 9872500 12565000 13821500 17276875 19745000 27643000 34553750 69107500 138215000