Search a number
-
+
20283540 = 2235834073
BaseRepresentation
bin100110101100…
…0000010010100
31102011111210020
41031120002110
520143033130
62002425140
7334256454
oct115300224
942144706
1020283540
11104a4362
1269621b0
1342824c4
14299dd64
151ba9e10
hex1358094

20283540 has 48 divisors (see below), whose sum is σ = 57492288. Its totient is φ = 5342464.

The previous prime is 20283521. The next prime is 20283541. The reversal of 20283540 is 4538202.

It is a super-2 number, since 2×202835402 = 822843989863200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20283540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20283541) 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, 2944 + ... + 7016.

It is an arithmetic number, because the mean of its divisors is an integer number (1197756).

Almost surely, 220283540 is an apocalyptic number.

20283540 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 20283540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28746144).

20283540 is an abundant number, since it is smaller than the sum of its proper divisors (37208748).

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

20283540 is a wasteful number, since it uses less digits than its factorization.

20283540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4168 (or 4166 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 20283540 is about 4503.7251248272. The cubic root of 20283540 is about 272.7184904243.

The spelling of 20283540 in words is "twenty million, two hundred eighty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 2490 4073 4980 8146 12219 16292 20365 24438 40730 48876 61095 81460 122190 244380 338059 676118 1014177 1352236 1690295 2028354 3380590 4056708 5070885 6761180 10141770 20283540