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140314200 = 233521317989
BaseRepresentation
bin10000101110100…
…00011001011000
3100210000200220020
420113100121120
5241410023300
621531230440
73322436205
oct1027203130
9323020806
10140314200
1172227154
123aba8420
13230ba370
14148c6cac
15c4b98a0
hex85d0658

140314200 has 96 divisors (see below), whose sum is σ = 468459600. Its totient is φ = 34536960.

The previous prime is 140314199. The next prime is 140314201. The reversal of 140314200 is 2413041.

It is an interprime number because it is at equal distance from previous prime (140314199) and next prime (140314201).

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 140314200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140314201) 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 23 ways as a sum of consecutive naturals, for example, 1195 + ... + 16794.

Almost surely, 2140314200 is an apocalyptic number.

140314200 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 140314200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234229800).

140314200 is an abundant number, since it is smaller than the sum of its proper divisors (328145400).

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

140314200 is a wasteful number, since it uses less digits than its factorization.

140314200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18021 (or 18012 counting only the distinct ones).

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

The square root of 140314200 is about 11845.4294983339. The cubic root of 140314200 is about 519.6375679619.

Adding to 140314200 its reverse (2413041), we get a palindrome (142727241).

The spelling of 140314200 in words is "one hundred forty million, three hundred fourteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 17989 35978 53967 71956 89945 107934 143912 179890 215868 233857 269835 359780 431736 449725 467714 539670 701571 719560 899450 935428 1079340 1169285 1349175 1403142 1798900 1870856 2158680 2338570 2698350 2806284 3507855 3597800 4677140 5396700 5612568 5846425 7015710 9354280 10793400 11692850 14031420 17539275 23385700 28062840 35078550 46771400 70157100 140314200