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20140020 = 22325412729
BaseRepresentation
bin100110011010…
…0111111110100
31101220012220200
41030310333310
520123440040
61555400500
7333121155
oct114647764
941805820
1020140020
111040654a
1268b3130
134232094
14296392c
151b7c630
hex1334ff4

20140020 has 72 divisors (see below), whose sum is σ = 62604360. Its totient is φ = 5237760.

The previous prime is 20139997. The next prime is 20140027. The reversal of 20140020 is 2004102.

It can be written as a sum of positive squares in 4 ways, for example, as 2196324 + 17943696 = 1482^2 + 4236^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20139984 and 20140011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20140027) 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, 6016 + ... + 8744.

It is an arithmetic number, because the mean of its divisors is an integer number (869505).

Almost surely, 220140020 is an apocalyptic number.

20140020 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 20140020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31302180).

20140020 is an abundant number, since it is smaller than the sum of its proper divisors (42464340).

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

20140020 is a wasteful number, since it uses less digits than its factorization.

20140020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 20140020 is about 4487.7633627454. The cubic root of 20140020 is about 272.0737437017.

Adding to 20140020 its reverse (2004102), we get a palindrome (22144122).

The spelling of 20140020 in words is "twenty million, one hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 2729 3690 5458 7380 8187 10916 13645 16374 24561 27290 32748 40935 49122 54580 81870 98244 111889 122805 163740 223778 245610 335667 447556 491220 559445 671334 1007001 1118890 1342668 1678335 2014002 2237780 3356670 4028004 5035005 6713340 10070010 20140020