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139219600 = 24521341653
BaseRepresentation
bin10000100110001…
…01001010010000
3100200222002101111
420103011022100
5241120011400
621451543104
73310230022
oct1023051220
9320862344
10139219600
1171649823
123a75aa94
1322ac6080
14146c0012
15c3503ba
hex84c5290

139219600 has 120 divisors (see below), whose sum is σ = 369554472. Its totient is φ = 50073600.

The previous prime is 139219571. The next prime is 139219601. The reversal of 139219600 is 6912931.

It can be written as a sum of positive squares in 12 ways, for example, as 116294656 + 22924944 = 10784^2 + 4788^2 .

It is not an unprimeable number, because it can be changed into a prime (139219601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212874 + ... + 213526.

Almost surely, 2139219600 is an apocalyptic number.

139219600 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 139219600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184777236).

139219600 is an abundant number, since it is smaller than the sum of its proper divisors (230334872).

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

139219600 is a wasteful number, since it uses less digits than its factorization.

139219600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 31.

The square root of 139219600 is about 11799.1355615570. The cubic root of 139219600 is about 518.2827970383.

The spelling of 139219600 in words is "one hundred thirty-nine million, two hundred nineteen thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 41 50 52 65 80 82 100 104 130 164 200 205 208 260 325 328 400 410 520 533 650 653 656 820 1025 1040 1066 1300 1306 1640 2050 2132 2600 2612 2665 3265 3280 4100 4264 5200 5224 5330 6530 8200 8489 8528 10448 10660 13060 13325 16325 16400 16978 21320 26120 26650 26773 32650 33956 42445 42640 52240 53300 53546 65300 67912 84890 106600 107092 130600 133865 135824 169780 212225 213200 214184 261200 267730 339560 348049 424450 428368 535460 669325 679120 696098 848900 1070920 1338650 1392196 1697800 1740245 2141840 2677300 2784392 3395600 3480490 5354600 5568784 6960980 8701225 10709200 13921960 17402450 27843920 34804900 69609800 139219600