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139666320 = 24325296689
BaseRepresentation
bin10000101001100…
…10001110010000
3100201210210011200
420110302032100
5241223310240
621505311200
73314100303
oct1024621620
9321723150
10139666320
1171924412
123a935500
1322c214c1
1414798b3a
15c3dc930
hex8532390

139666320 has 120 divisors (see below), whose sum is σ = 485292600. Its totient is φ = 35954688.

The previous prime is 139666313. The next prime is 139666333. The reversal of 139666320 is 23666931.

It can be written as a sum of positive squares in 4 ways, for example, as 34152336 + 105513984 = 5844^2 + 10272^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17536 + ... + 24224.

It is an arithmetic number, because the mean of its divisors is an integer number (4044105).

Almost surely, 2139666320 is an apocalyptic number.

139666320 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 139666320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242646300).

139666320 is an abundant number, since it is smaller than the sum of its proper divisors (345626280).

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

139666320 is a wasteful number, since it uses less digits than its factorization.

139666320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6737 (or 6728 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 139666320 is about 11818.0506006701. The cubic root of 139666320 is about 518.8365507108.

The spelling of 139666320 in words is "one hundred thirty-nine million, six hundred sixty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 36 40 45 48 58 60 72 80 87 90 116 120 144 145 174 180 232 240 261 290 348 360 435 464 522 580 696 720 870 1044 1160 1305 1392 1740 2088 2320 2610 3480 4176 5220 6689 6960 10440 13378 20067 20880 26756 33445 40134 53512 60201 66890 80268 100335 107024 120402 133780 160536 193981 200670 240804 267560 301005 321072 387962 401340 481608 535120 581943 602010 775924 802680 963216 969905 1163886 1204020 1551848 1605360 1745829 1939810 2327772 2408040 2909715 3103696 3491658 3879620 4655544 4816080 5819430 6983316 7759240 8729145 9311088 11638860 13966632 15518480 17458290 23277720 27933264 34916580 46555440 69833160 139666320