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140323120 = 2457833019
BaseRepresentation
bin10000101110100…
…10100100110000
3100210001011010121
420113102210300
5241410314440
621531340024
73322504210
oct1027224460
9323034117
10140323120
1172232923
123abb1614
13230c1442
14148ca240
15c4bc34a
hex85d2930

140323120 has 80 divisors (see below), whose sum is σ = 377475840. Its totient is φ = 47515392.

The previous prime is 140323111. The next prime is 140323123. The reversal of 140323120 is 21323041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 140323094 and 140323103.

It is not an unprimeable number, because it can be changed into a prime (140323123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44971 + ... + 47989.

It is an arithmetic number, because the mean of its divisors is an integer number (4718448).

Almost surely, 2140323120 is an apocalyptic number.

140323120 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 140323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188737920).

140323120 is an abundant number, since it is smaller than the sum of its proper divisors (237152720).

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

140323120 is a wasteful number, since it uses less digits than its factorization.

140323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3122 (or 3116 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 140323120 is about 11845.8060088793. The cubic root of 140323120 is about 519.6485791280.

Adding to 140323120 its reverse (21323041), we get a palindrome (161646161).

The spelling of 140323120 in words is "one hundred forty million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 83 112 140 166 280 332 415 560 581 664 830 1162 1328 1660 2324 2905 3019 3320 4648 5810 6038 6640 9296 11620 12076 15095 21133 23240 24152 30190 42266 46480 48304 60380 84532 105665 120760 169064 211330 241520 250577 338128 422660 501154 845320 1002308 1252885 1690640 1754039 2004616 2505770 3508078 4009232 5011540 7016156 8770195 10023080 14032312 17540390 20046160 28064624 35080780 70161560 140323120