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140386200 = 23352832819
BaseRepresentation
bin10000101111000…
…01111110011000
3100210011100122220
420113201332120
5241414324300
621532544040
73323156133
oct1027417630
9323140586
10140386200
1172276259
123b022020
1323114076
141490521a
15c4d0da0
hex85e1f98

140386200 has 96 divisors (see below), whose sum is σ = 440596800. Its totient is φ = 36972160.

The previous prime is 140386171. The next prime is 140386201. The reversal of 140386200 is 2683041.

It is a happy number.

140386200 is digitally balanced in base 2, 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140386201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48391 + ... + 51209.

It is an arithmetic number, because the mean of its divisors is an integer number (4589550).

Almost surely, 2140386200 is an apocalyptic number.

140386200 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 140386200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220298400).

140386200 is an abundant number, since it is smaller than the sum of its proper divisors (300210600).

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

140386200 is a wasteful number, since it uses less digits than its factorization.

140386200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2921 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 140386200 is about 11848.4682554329. The cubic root of 140386200 is about 519.7264340146.

The spelling of 140386200 in words is "one hundred forty million, three hundred eighty-six thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 83 100 120 150 166 200 249 300 332 415 498 600 664 830 996 1245 1660 1992 2075 2490 2819 3320 4150 4980 5638 6225 8300 8457 9960 11276 12450 14095 16600 16914 22552 24900 28190 33828 42285 49800 56380 67656 70475 84570 112760 140950 169140 211425 233977 281900 338280 422850 467954 563800 701931 845700 935908 1169885 1403862 1691400 1871816 2339770 2807724 3509655 4679540 5615448 5849425 7019310 9359080 11698850 14038620 17548275 23397700 28077240 35096550 46795400 70193100 140386200