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20034040 = 2351359653
BaseRepresentation
bin100110001101…
…1000111111000
31101200211112111
41030123013320
520112042130
61553222104
7332200165
oct114330770
941624474
1020034040
1110343964
126861934
1341c5a80
14293706c
151b5b02a
hex131b1f8

20034040 has 64 divisors (see below), whose sum is σ = 49442400. Its totient is φ = 7260672.

The previous prime is 20034031. The next prime is 20034061. The reversal of 20034040 is 4043002.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 20034040.

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 15 ways as a sum of consecutive naturals, for example, 30354 + ... + 31006.

Almost surely, 220034040 is an apocalyptic number.

20034040 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 20034040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24721200).

20034040 is an abundant number, since it is smaller than the sum of its proper divisors (29408360).

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

20034040 is a wasteful number, since it uses less digits than its factorization.

20034040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 20034040 is about 4475.9401247112. The cubic root of 20034040 is about 271.5956723333.

Adding to 20034040 its reverse (4043002), we get a palindrome (24077042).

The spelling of 20034040 in words is "twenty million, thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 59 65 104 118 130 236 260 295 472 520 590 653 767 1180 1306 1534 2360 2612 3068 3265 3835 5224 6136 6530 7670 8489 13060 15340 16978 26120 30680 33956 38527 42445 67912 77054 84890 154108 169780 192635 308216 339560 385270 500851 770540 1001702 1541080 2003404 2504255 4006808 5008510 10017020 20034040