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138321500 = 2253674129
BaseRepresentation
bin10000011111010…
…01111001011100
3100122021110102112
420033221321130
5240402242000
621420413152
73266466452
oct1017517134
9318243375
10138321500
1171095a99
123a3a71b8
1322870355
14145289d2
15c224235
hex83e9e5c

138321500 has 48 divisors (see below), whose sum is σ = 306677280. Its totient is φ = 54489600.

The previous prime is 138321499. The next prime is 138321527. The reversal of 138321500 is 5123831.

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, 31436 + ... + 35564.

It is an arithmetic number, because the mean of its divisors is an integer number (6389110).

Almost surely, 2138321500 is an apocalyptic number.

138321500 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 138321500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153338640).

138321500 is an abundant number, since it is smaller than the sum of its proper divisors (168355780).

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

138321500 is a wasteful number, since it uses less digits than its factorization.

138321500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4215 (or 4203 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 138321500 is about 11761.0161125644. The cubic root of 138321500 is about 517.1659181613.

The spelling of 138321500 in words is "one hundred thirty-eight million, three hundred twenty-one thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 125 134 250 268 335 500 670 1340 1675 3350 4129 6700 8258 8375 16516 16750 20645 33500 41290 82580 103225 206450 276643 412900 516125 553286 1032250 1106572 1383215 2064500 2766430 5532860 6916075 13832150 27664300 34580375 69160750 138321500