Search a number
-
+
20403400 = 2352172353
BaseRepresentation
bin100110111010…
…1010011001000
31102101121012111
41031311103020
520210402100
62005152104
7335266063
oct115652310
942347174
1020403400
1110576416
1269bb634
1342c4c24
1429d18da
151bd06ba
hex13754c8

20403400 has 72 divisors (see below), whose sum is σ = 50535270. Its totient is φ = 7659520.

The previous prime is 20403389. The next prime is 20403401. The reversal of 20403400 is 430402.

20403400 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 9 ways, for example, as 4674244 + 15729156 = 2162^2 + 3966^2 .

It is not an unprimeable number, because it can be changed into a prime (20403401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57624 + ... + 57976.

Almost surely, 220403400 is an apocalyptic number.

20403400 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 20403400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25267635).

20403400 is an abundant number, since it is smaller than the sum of its proper divisors (30131870).

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

20403400 is a wasteful number, since it uses less digits than its factorization.

20403400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 377 counting only the distinct ones).

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

The square root of 20403400 is about 4517.0122868994. The cubic root of 20403400 is about 273.2546207352.

Adding to 20403400 its reverse (430402), we get a palindrome (20833802).

The spelling of 20403400 in words is "twenty million, four hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 289 340 353 425 578 680 706 850 1156 1412 1445 1700 1765 2312 2824 2890 3400 3530 5780 6001 7060 7225 8825 11560 12002 14120 14450 17650 24004 28900 30005 35300 48008 57800 60010 70600 102017 120020 150025 204034 240040 300050 408068 510085 600100 816136 1020170 1200200 2040340 2550425 4080680 5100850 10201700 20403400