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140814200 = 23521016971
BaseRepresentation
bin10000110010010…
…10011101111000
3100210222002202202
420121022131320
5242022023300
621550045332
73326621012
oct1031123570
9323862682
10140814200
117253887a
123b1a9848
1323233b17
14149b71b2
15c567ad5
hex864a778

140814200 has 48 divisors (see below), whose sum is σ = 330681960. Its totient is φ = 55760000.

The previous prime is 140814197. The next prime is 140814203. The reversal of 140814200 is 2418041.

It is an interprime number because it is at equal distance from previous prime (140814197) and next prime (140814203).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140814203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16715 + ... + 23685.

Almost surely, 2140814200 is an apocalyptic number.

140814200 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 140814200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165340980).

140814200 is an abundant number, since it is smaller than the sum of its proper divisors (189867760).

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

140814200 is a wasteful number, since it uses less digits than its factorization.

140814200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7088 (or 7079 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 140814200 is about 11866.5159166455. The cubic root of 140814200 is about 520.2540671664.

It can be divided in two parts, 14081 and 4200, that added together give a palindrome (18281).

The spelling of 140814200 in words is "one hundred forty million, eight hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 404 505 808 1010 2020 2525 4040 5050 6971 10100 13942 20200 27884 34855 55768 69710 139420 174275 278840 348550 697100 704071 1394200 1408142 2816284 3520355 5632568 7040710 14081420 17601775 28162840 35203550 70407100 140814200