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138622050 = 23352714669
BaseRepresentation
bin10000100001100…
…11010001100010
3100122211201201000
420100303101202
5240441401200
621431052430
73302160630
oct1020632142
9318751630
10138622050
1171280886
123a511116
13229470a8
14145a6350
15c283300
hex8433462

138622050 has 96 divisors (see below), whose sum is σ = 436579200. Its totient is φ = 31682880.

The previous prime is 138622009. The next prime is 138622061. The reversal of 138622050 is 50226831.

138622050 is a `hidden beast` number, since 1 + 38 + 622 + 0 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2116 + ... + 16784.

It is an arithmetic number, because the mean of its divisors is an integer number (4547700).

Almost surely, 2138622050 is an apocalyptic number.

138622050 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 138622050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218289600).

138622050 is an abundant number, since it is smaller than the sum of its proper divisors (297957150).

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

138622050 is a wasteful number, since it uses less digits than its factorization.

138622050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14697 (or 14686 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 138622050 is about 11773.7865616801. The cubic root of 138622050 is about 517.5402195164.

Adding to 138622050 its reverse (50226831), we get a palindrome (188848881).

It can be divided in two parts, 1386 and 22050, that added together give a triangular number (23436 = T216).

The spelling of 138622050 in words is "one hundred thirty-eight million, six hundred twenty-two thousand, fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 90 105 126 135 150 175 189 210 225 270 315 350 378 450 525 630 675 945 1050 1350 1575 1890 3150 4725 9450 14669 29338 44007 73345 88014 102683 132021 146690 205366 220035 264042 308049 366725 396063 440070 513415 616098 660105 733450 792126 924147 1026830 1100175 1320210 1540245 1848294 1980315 2200350 2567075 2772441 3080490 3300525 3960630 4620735 5134150 5544882 6601050 7701225 9241470 9901575 13862205 15402450 19803150 23103675 27724410 46207350 69311025 138622050