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20004240 = 2435174903
BaseRepresentation
bin100110001001…
…1110110010000
31101122022122210
41030103312100
520110113430
61552432120
7332014254
oct114236620
941568583
1020004240
1110323533
126848640
1341b5339
14292a264
151b522b0
hex1313d90

20004240 has 80 divisors (see below), whose sum is σ = 65674368. Its totient is φ = 5019648.

The previous prime is 20004239. The next prime is 20004253. The reversal of 20004240 is 4240002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1629 + ... + 6531.

Almost surely, 220004240 is an apocalyptic number.

20004240 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 20004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32837184).

20004240 is an abundant number, since it is smaller than the sum of its proper divisors (45670128).

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

20004240 is a wasteful number, since it uses less digits than its factorization.

20004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4936 (or 4930 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 20004240 is about 4472.6099762890. The cubic root of 20004240 is about 271.4609421886.

Adding to 20004240 its reverse (4240002), we get a palindrome (24244242).

The spelling of 20004240 in words is "twenty million, four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 4903 9806 14709 19612 24515 29418 39224 49030 58836 73545 78448 83351 98060 117672 147090 166702 196120 235344 250053 294180 333404 392240 416755 500106 588360 666808 833510 1000212 1176720 1250265 1333616 1667020 2000424 2500530 3334040 4000848 5001060 6668080 10002120 20004240