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140414200 = 23523671913
BaseRepresentation
bin10000101111010…
…00110011111000
3100210012210001221
420113220303320
5241421223300
621533321424
73323333563
oct1027506370
9323183057
10140414200
11722952a3
123b036274
1323123a34
14149114da
15c4d931a
hex85e8cf8

140414200 has 48 divisors (see below), whose sum is σ = 327523680. Its totient is φ = 55983360.

The previous prime is 140414137. The next prime is 140414207. The reversal of 140414200 is 2414041.

140414200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1404142002 = 39432295123280000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140414207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72444 + ... + 74356.

It is an arithmetic number, because the mean of its divisors is an integer number (6823410).

Almost surely, 2140414200 is an apocalyptic number.

140414200 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 140414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163761840).

140414200 is an abundant number, since it is smaller than the sum of its proper divisors (187109480).

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

140414200 is a wasteful number, since it uses less digits than its factorization.

140414200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2296 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 140414200 is about 11849.6497838544. The cubic root of 140414200 is about 519.7609848294.

Adding to 140414200 its reverse (2414041), we get a palindrome (142828241).

The spelling of 140414200 in words is "one hundred forty million, four hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 367 734 1468 1835 1913 2936 3670 3826 7340 7652 9175 9565 14680 15304 18350 19130 36700 38260 47825 73400 76520 95650 191300 382600 702071 1404142 2808284 3510355 5616568 7020710 14041420 17551775 28082840 35103550 70207100 140414200