Search a number
-
+
20305488 = 2437223271
BaseRepresentation
bin100110101110…
…1011001010000
31102012121220010
41031131121100
520144233423
62003114520
7334410450
oct115353120
942177803
1020305488
11105098a5
126972a40
13428c4a8
1429a7d60
151bb1693
hex135d650

20305488 has 80 divisors (see below), whose sum is σ = 60440576. Its totient is φ = 5754240.

The previous prime is 20305487. The next prime is 20305507. The reversal of 20305488 is 88450302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20305487) 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, 74793 + ... + 75063.

Almost surely, 220305488 is an apocalyptic number.

20305488 is a gapful number since it is divisible by the number (28) 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 20305488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30220288).

20305488 is an abundant number, since it is smaller than the sum of its proper divisors (40135088).

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

20305488 is a wasteful number, since it uses less digits than its factorization.

20305488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 20305488 is about 4506.1611156282. The cubic root of 20305488 is about 272.8168208569.

The spelling of 20305488 in words is "twenty million, three hundred five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 223 271 336 446 542 669 813 892 1084 1338 1561 1626 1784 1897 2168 2676 3122 3252 3568 3794 4336 4683 5352 5691 6244 6504 7588 9366 10704 11382 12488 13008 15176 18732 22764 24976 30352 37464 45528 60433 74928 91056 120866 181299 241732 362598 423031 483464 725196 846062 966928 1269093 1450392 1692124 2538186 2900784 3384248 5076372 6768496 10152744 20305488