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140318000 = 2453174127
BaseRepresentation
bin10000101110100…
…01010100110000
3100210000220002222
420113101110300
5241410134000
621531300212
73322453244
oct1027212460
9323026088
10140318000
1172229a99
123abaa668
13230bc004
14148c8424
15c4baa85
hex85d1530

140318000 has 80 divisors (see below), whose sum is σ = 359334144. Its totient is φ = 52812800.

The previous prime is 140317999. The next prime is 140318011. The reversal of 140318000 is 813041.

It is a happy number.

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

It is a super-2 number, since 2×1403180002 = 39378282248000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 140318000.

It is an unprimeable number.

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, 31937 + ... + 36063.

Almost surely, 2140318000 is an apocalyptic number.

140318000 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 140318000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179667072).

140318000 is an abundant number, since it is smaller than the sum of its proper divisors (219016144).

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

140318000 is a wasteful number, since it uses less digits than its factorization.

140318000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4167 (or 4151 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 140318000 is about 11845.5898966662. The cubic root of 140318000 is about 519.6422588745.

The spelling of 140318000 in words is "one hundred forty million, three hundred eighteen thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1360 1700 2000 2125 3400 4127 4250 6800 8254 8500 16508 17000 20635 33016 34000 41270 66032 70159 82540 103175 140318 165080 206350 280636 330160 350795 412700 515875 561272 701590 825400 1031750 1122544 1403180 1650800 1753975 2063500 2806360 3507950 4127000 5612720 7015900 8254000 8769875 14031800 17539750 28063600 35079500 70159000 140318000