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139128300 = 2233522272
BaseRepresentation
bin10000100101011…
…10110111101100
3100200210110011000
420102232313230
5241104101200
621450000300
73306366603
oct1022566754
9320713130
10139128300
1171597173
123a716090
1322a9364c
1414698a3a
15c333300
hex84aedec

139128300 has 108 divisors (see below), whose sum is σ = 449250760. Its totient is φ = 36937440.

The previous prime is 139128281. The next prime is 139128331. The reversal of 139128300 is 3821931.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 612787 + ... + 613013.

Almost surely, 2139128300 is an apocalyptic number.

139128300 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 139128300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224625380).

139128300 is an abundant number, since it is smaller than the sum of its proper divisors (310122460).

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

139128300 is a wasteful number, since it uses less digits than its factorization.

139128300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 139128300 is about 11795.2659995441. The cubic root of 139128300 is about 518.1694759085.

Multiplying 139128300 by its sum of digits (27), we get a square (3756464100 = 612902).

139128300 divided by its sum of digits (27) gives a square (5152900 = 22702).

The spelling of 139128300 in words is "one hundred thirty-nine million, one hundred twenty-eight thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 227 270 300 450 454 540 675 681 900 908 1135 1350 1362 2043 2270 2700 2724 3405 4086 4540 5675 6129 6810 8172 10215 11350 12258 13620 17025 20430 22700 24516 30645 34050 40860 51075 51529 61290 68100 102150 103058 122580 153225 154587 204300 206116 257645 306450 309174 463761 515290 612900 618348 772935 927522 1030580 1288225 1391283 1545870 1855044 2318805 2576450 2782566 3091740 3864675 4637610 5152900 5565132 6956415 7729350 9275220 11594025 13912830 15458700 23188050 27825660 34782075 46376100 69564150 139128300