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140329820 = 225191312819
BaseRepresentation
bin10000101110101…
…00001101011100
3100210001111022202
420113110031130
5241411023240
621531431032
73322532561
oct1027241534
9323044282
10140329820
1172237964
123abb5478
13230c44c7
14148cc868
15c4be315
hex85d435c

140329820 has 48 divisors (see below), whose sum is σ = 312681600. Its totient is φ = 52752960.

The previous prime is 140329817. The next prime is 140329853. The reversal of 140329820 is 28923041.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48371 + ... + 51189.

It is an arithmetic number, because the mean of its divisors is an integer number (6514200).

Almost surely, 2140329820 is an apocalyptic number.

140329820 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 140329820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156340800).

140329820 is an abundant number, since it is smaller than the sum of its proper divisors (172351780).

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

140329820 is a wasteful number, since it uses less digits than its factorization.

140329820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978 (or 2976 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 140329820 is about 11846.0888060153. The cubic root of 140329820 is about 519.6568495401.

The spelling of 140329820 in words is "one hundred forty million, three hundred twenty-nine thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 131 190 262 380 524 655 1310 2489 2620 2819 4978 5638 9956 11276 12445 14095 24890 28190 49780 53561 56380 107122 214244 267805 369289 535610 738578 1071220 1477156 1846445 3692890 7016491 7385780 14032982 28065964 35082455 70164910 140329820