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20040500 = 2253149269
BaseRepresentation
bin100110001110…
…0101100110100
31101201011101202
41030130230310
520112244000
61553312032
7332225054
oct114345464
941634352
1020040500
11103487a7
126865618
1341c89ac
142939564
151b5cdd5
hex131cb34

20040500 has 48 divisors (see below), whose sum is σ = 44226000. Its totient is φ = 7932800.

The previous prime is 20040499. The next prime is 20040509. The reversal of 20040500 is 504002.

It can be written as a sum of positive squares in 8 ways, for example, as 15697444 + 4343056 = 3962^2 + 2084^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20040509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74366 + ... + 74634.

It is an arithmetic number, because the mean of its divisors is an integer number (921375).

Almost surely, 220040500 is an apocalyptic number.

20040500 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 20040500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22113000).

20040500 is an abundant number, since it is smaller than the sum of its proper divisors (24185500).

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

20040500 is a wasteful number, since it uses less digits than its factorization.

20040500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 20040500 is about 4476.6617026530. The cubic root of 20040500 is about 271.6248613119.

Adding to 20040500 its reverse (504002), we get a palindrome (20544502).

The spelling of 20040500 in words is "twenty million, forty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 149 250 269 298 500 538 596 745 1076 1345 1490 2690 2980 3725 5380 6725 7450 13450 14900 18625 26900 33625 37250 40081 67250 74500 80162 134500 160324 200405 400810 801620 1002025 2004050 4008100 5010125 10020250 20040500