Search a number
-
+
20314464 = 253613469
BaseRepresentation
bin100110101111…
…1100101100000
31102020002012120
41031133211200
520200030324
62003224240
7334445562
oct115374540
942202176
1020314464
1110515615
126978080
1342935c1
1429ab332
151bb4179
hex135f960

20314464 has 48 divisors (see below), whose sum is σ = 54215280. Its totient is φ = 6658560.

The previous prime is 20314453. The next prime is 20314487. The reversal of 20314464 is 46441302.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4122 + ... + 7590.

It is an arithmetic number, because the mean of its divisors is an integer number (1129485).

Almost surely, 220314464 is an apocalyptic number.

20314464 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 20314464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27107640).

20314464 is an abundant number, since it is smaller than the sum of its proper divisors (33900816).

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

20314464 is a wasteful number, since it uses less digits than its factorization.

20314464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3543 (or 3535 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 20314464 is about 4507.1569753005. The cubic root of 20314464 is about 272.8570143101.

Adding to 20314464 its reverse (46441302), we get a palindrome (66755766).

The spelling of 20314464 in words is "twenty million, three hundred fourteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 3469 5856 6938 10407 13876 20814 27752 41628 55504 83256 111008 166512 211609 333024 423218 634827 846436 1269654 1692872 2539308 3385744 5078616 6771488 10157232 20314464