Search a number
-
+
20313040 = 2451141563
BaseRepresentation
bin100110101111…
…1001111010000
31102020000020211
41031133033100
520200004130
62003213504
7334441456
oct115371720
942200224
1020313040
1110514540
126977294
134292a67
1429aa9d6
151bb3a2a
hex135f3d0

20313040 has 80 divisors (see below), whose sum is σ = 52871616. Its totient is φ = 7193600.

The previous prime is 20313001. The next prime is 20313047. The reversal of 20313040 is 4031302.

20313040 is nontrivially palindromic in base 9.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20313040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20313047) 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, 35799 + ... + 36361.

Almost surely, 220313040 is an apocalyptic number.

20313040 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 20313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26435808).

20313040 is an abundant number, since it is smaller than the sum of its proper divisors (32558576).

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

20313040 is a wasteful number, since it uses less digits than its factorization.

20313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 20313040 is about 4506.9990015530. Note that the first 3 decimals coincide. The cubic root of 20313040 is about 272.8506385989.

Adding to 20313040 its reverse (4031302), we get a palindrome (24344342).

The spelling of 20313040 in words is "twenty million, three hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 55 80 82 88 110 164 176 205 220 328 410 440 451 563 656 820 880 902 1126 1640 1804 2252 2255 2815 3280 3608 4504 4510 5630 6193 7216 9008 9020 11260 12386 18040 22520 23083 24772 30965 36080 45040 46166 49544 61930 92332 99088 115415 123860 184664 230830 247720 253913 369328 461660 495440 507826 923320 1015652 1269565 1846640 2031304 2539130 4062608 5078260 10156520 20313040