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20140000 = 25541953
BaseRepresentation
bin100110011010…
…0111111100000
31101220012212221
41030310333200
520123440000
61555400424
7333121126
oct114647740
941805787
1020140000
1110406531
1268b3114
13423207a
142963916
151b7c61a
hex1334fe0

20140000 has 120 divisors (see below), whose sum is σ = 53139240. Its totient is φ = 7488000.

The previous prime is 20139997. The next prime is 20140027. The reversal of 20140000 is 4102.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 379974 + ... + 380026.

It is an arithmetic number, because the mean of its divisors is an integer number (442827).

Almost surely, 220140000 is an apocalyptic number.

20140000 is a gapful number since it is divisible by the number (20) 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 20140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26569620).

20140000 is an abundant number, since it is smaller than the sum of its proper divisors (32999240).

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

20140000 is an equidigital number, since it uses as much as digits as its factorization.

20140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 20140000 is about 4487.7611344634. The cubic root of 20140000 is about 272.0736536409.

Adding to 20140000 its reverse (4102), we get a palindrome (20144102).

The spelling of 20140000 in words is "twenty million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 53 76 80 95 100 106 125 152 160 190 200 212 250 265 304 380 400 424 475 500 530 608 625 760 800 848 950 1000 1007 1060 1250 1325 1520 1696 1900 2000 2014 2120 2375 2500 2650 3040 3800 4000 4028 4240 4750 5000 5035 5300 6625 7600 8056 8480 9500 10000 10070 10600 11875 13250 15200 16112 19000 20000 20140 21200 23750 25175 26500 32224 33125 38000 40280 42400 47500 50350 53000 66250 76000 80560 95000 100700 106000 125875 132500 161120 190000 201400 212000 251750 265000 380000 402800 503500 530000 629375 805600 1007000 1060000 1258750 2014000 2517500 4028000 5035000 10070000 20140000