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20040440 = 2357193767
BaseRepresentation
bin100110001110…
…0101011111000
31101201011022112
41030130223320
520112243230
61553311452
7332224640
oct114345370
941634275
1020040440
1110348752
126865588
1341c8964
142939520
151b5cd95
hex131caf8

20040440 has 64 divisors (see below), whose sum is σ = 54259200. Its totient is φ = 6507648.

The previous prime is 20040409. The next prime is 20040443. The reversal of 20040440 is 4404002.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20040443) 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 15 ways as a sum of consecutive naturals, for example, 3437 + ... + 7203.

It is an arithmetic number, because the mean of its divisors is an integer number (847800).

Almost surely, 220040440 is an apocalyptic number.

20040440 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 20040440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27129600).

20040440 is an abundant number, since it is smaller than the sum of its proper divisors (34218760).

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

20040440 is a wasteful number, since it uses less digits than its factorization.

20040440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3804 (or 3800 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 20040440 is about 4476.6550012258. The cubic root of 20040440 is about 271.6245902357.

Adding to 20040440 its reverse (4404002), we get a palindrome (24444442).

The spelling of 20040440 in words is "twenty million, forty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2660 3767 5320 7534 15068 18835 26369 30136 37670 52738 71573 75340 105476 131845 143146 150680 210952 263690 286292 357865 501011 527380 572584 715730 1002022 1054760 1431460 2004044 2505055 2862920 4008088 5010110 10020220 20040440