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140301120 = 26351011447
BaseRepresentation
bin10000101110011…
…01001101000000
3100210000000221210
420113031031000
5241404113440
621531050120
73322353111
oct1027151500
9323000853
10140301120
1172218343
123aba0940
13230b441b
14148c2208
15c4b5a80
hex85cd340

140301120 has 112 divisors (see below), whose sum is σ = 450177408. Its totient is φ = 37017600.

The previous prime is 140301107. The next prime is 140301121. The reversal of 140301120 is 21103041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 140301096 and 140301105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140301121) 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, 96237 + ... + 97683.

Almost surely, 2140301120 is an apocalyptic number.

140301120 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 140301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225088704).

140301120 is an abundant number, since it is smaller than the sum of its proper divisors (309876288).

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

140301120 is a wasteful number, since it uses less digits than its factorization.

140301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 140301120 is about 11844.8773737848. The cubic root of 140301120 is about 519.6214206996.

Adding to 140301120 its reverse (21103041), we get a palindrome (161404161).

The spelling of 140301120 in words is "one hundred forty million, three hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 101 120 160 192 202 240 303 320 404 480 505 606 808 960 1010 1212 1447 1515 1616 2020 2424 2894 3030 3232 4040 4341 4848 5788 6060 6464 7235 8080 8682 9696 11576 12120 14470 16160 17364 19392 21705 23152 24240 28940 32320 34728 43410 46304 48480 57880 69456 86820 92608 96960 115760 138912 146147 173640 231520 277824 292294 347280 438441 463040 584588 694560 730735 876882 1169176 1389120 1461470 1753764 2192205 2338352 2922940 3507528 4384410 4676704 5845880 7015056 8768820 9353408 11691760 14030112 17537640 23383520 28060224 35075280 46767040 70150560 140301120