Search a number
-
+
20460384 = 2533717199
BaseRepresentation
bin100111000001…
…1001101100000
31102111111101000
41032003031200
520214213014
62010312000
7335624160
oct116031540
942444330
1020460384
111060520a
126a28600
134314b49
142a085a0
151be2509
hex1383360

20460384 has 192 divisors, whose sum is σ = 72576000. Its totient is φ = 5474304.

The previous prime is 20460373. The next prime is 20460443. The reversal of 20460384 is 48306402.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102717 + ... + 102915.

It is an arithmetic number, because the mean of its divisors is an integer number (378000).

Almost surely, 220460384 is an apocalyptic number.

20460384 is a gapful number since it is divisible by the number (24) 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 20460384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36288000).

20460384 is an abundant number, since it is smaller than the sum of its proper divisors (52115616).

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

20460384 is a wasteful number, since it uses less digits than its factorization.

20460384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 20460384 is about 4523.3155980984. The cubic root of 20460384 is about 273.5087722934.

Adding to 20460384 its reverse (48306402), we get a palindrome (68766786).

The spelling of 20460384 in words is "twenty million, four hundred sixty thousand, three hundred eighty-four".