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140322120 = 23353167563
BaseRepresentation
bin10000101110100…
…10010101001000
3100210001002202120
420113102111020
5241410301440
621531331240
73322501251
oct1027222510
9323032676
10140322120
11722320a4
123abb0b20
13230c0b53
14148c9b28
15c4bbdd0
hex85d2548

140322120 has 128 divisors (see below), whose sum is σ = 441815040. Its totient is φ = 35608320.

The previous prime is 140322107. The next prime is 140322121. The reversal of 140322120 is 21223041.

It is a super-2 number, since 2×1403221202 = 39380594722588800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 140322120.

It is not an unprimeable number, because it can be changed into a prime (140322121) 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 31 ways as a sum of consecutive naturals, for example, 248959 + ... + 249521.

It is an arithmetic number, because the mean of its divisors is an integer number (3451680).

Almost surely, 2140322120 is an apocalyptic number.

140322120 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 140322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220907520).

140322120 is an abundant number, since it is smaller than the sum of its proper divisors (301492920).

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

140322120 is a wasteful number, since it uses less digits than its factorization.

140322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 140322120 is about 11845.7637997725. The cubic root of 140322120 is about 519.6473447156.

Adding to 140322120 its reverse (21223041), we get a palindrome (161545161).

The spelling of 140322120 in words is "one hundred forty million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 67 93 120 124 134 155 186 201 248 268 310 335 372 402 465 536 563 620 670 744 804 930 1005 1126 1240 1340 1608 1689 1860 2010 2077 2252 2680 2815 3378 3720 4020 4154 4504 5630 6231 6756 8040 8308 8445 10385 11260 12462 13512 16616 16890 17453 20770 22520 24924 31155 33780 34906 37721 41540 49848 52359 62310 67560 69812 75442 83080 87265 104718 113163 124620 139624 150884 174530 188605 209436 226326 249240 261795 301768 349060 377210 418872 452652 523590 565815 698120 754420 905304 1047180 1131630 1169351 1508840 2094360 2263260 2338702 3508053 4526520 4677404 5846755 7016106 9354808 11693510 14032212 17540265 23387020 28064424 35080530 46774040 70161060 140322120