Search a number
-
+
20671640 = 2351124271
BaseRepresentation
bin100111011011…
…0110010011000
31102220020011022
41032312302120
520242443030
62015022012
7340464113
oct116666230
942806138
1020671640
1110739a00
126b0a908
13438a052
142a6157a
151c34de5
hex13b6c98

20671640 has 48 divisors (see below), whose sum is σ = 51135840. Its totient is φ = 7515200.

The previous prime is 20671631. The next prime is 20671649. The reversal of 20671640 is 4617602.

20671640 = T394 + T395 + ... + T569.

It is an interprime number because it is at equal distance from previous prime (20671631) and next prime (20671649).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20671649) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2705 + ... + 6975.

It is an arithmetic number, because the mean of its divisors is an integer number (1065330).

Almost surely, 220671640 is an apocalyptic number.

20671640 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 20671640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25567920).

20671640 is an abundant number, since it is smaller than the sum of its proper divisors (30464200).

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

20671640 is a wasteful number, since it uses less digits than its factorization.

20671640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4304 (or 4289 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 20671640 is about 4546.6075264971. The cubic root of 20671640 is about 274.4468882637.

The spelling of 20671640 in words is "twenty million, six hundred seventy-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4271 4840 8542 17084 21355 34168 42710 46981 85420 93962 170840 187924 234905 375848 469810 516791 939620 1033582 1879240 2067164 2583955 4134328 5167910 10335820 20671640