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140016800 = 25527112273
BaseRepresentation
bin10000101100001…
…11110010100000
3100202110120221102
420112013302200
5241321014200
621521013532
73320060150
oct1026076240
9322416842
10140016800
1172043770
123aa842a8
1323014ba1
141484a760
15c45b6d5
hex8587ca0

140016800 has 144 divisors (see below), whose sum is σ = 426347712. Its totient is φ = 43622400.

The previous prime is 140016781. The next prime is 140016817. The reversal of 140016800 is 8610041.

140016800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 60464 + ... + 62736.

It is an arithmetic number, because the mean of its divisors is an integer number (2960748).

Almost surely, 2140016800 is an apocalyptic number.

140016800 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 140016800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213173856).

140016800 is an abundant number, since it is smaller than the sum of its proper divisors (286330912).

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

140016800 is a wasteful number, since it uses less digits than its factorization.

140016800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 140016800 is about 11832.8694744766. The cubic root of 140016800 is about 519.2701793308.

Adding to 140016800 its reverse (8610041), we get a palindrome (148626841).

The spelling of 140016800 in words is "one hundred forty million, sixteen thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 50 55 56 70 77 80 88 100 110 112 140 154 160 175 176 200 220 224 275 280 308 350 352 385 400 440 550 560 616 700 770 800 880 1100 1120 1232 1400 1540 1760 1925 2200 2273 2464 2800 3080 3850 4400 4546 5600 6160 7700 8800 9092 11365 12320 15400 15911 18184 22730 25003 30800 31822 36368 45460 50006 56825 61600 63644 72736 79555 90920 100012 113650 125015 127288 159110 175021 181840 200024 227300 250030 254576 318220 350042 363680 397775 400048 454600 500060 509152 625075 636440 700084 795550 800096 875105 909200 1000120 1250150 1272880 1400168 1591100 1750210 1818400 2000240 2500300 2545760 2800336 3182200 3500420 4000480 4375525 5000600 5600672 6364400 7000840 8751050 10001200 12728800 14001680 17502100 20002400 28003360 35004200 70008400 140016800