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20327640 = 2335612777
BaseRepresentation
bin100110110001…
…0110011011000
31102020202021120
41031202303120
520200441030
62003405240
7334532154
oct115426330
942222246
1020327640
1110524503
126983820
1342995b8
1429b2064
151bb8010
hex1362cd8

20327640 has 64 divisors (see below), whose sum is σ = 62004960. Its totient is φ = 5329920.

The previous prime is 20327639. The next prime is 20327687. The reversal of 20327640 is 4672302.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20327640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5932 + ... + 8708.

Almost surely, 220327640 is an apocalyptic number.

20327640 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 20327640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31002480).

20327640 is an abundant number, since it is smaller than the sum of its proper divisors (41677320).

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

20327640 is a wasteful number, since it uses less digits than its factorization.

20327640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2852 (or 2848 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 20327640 is about 4508.6184136607. The cubic root of 20327640 is about 272.9159934201.

Adding to 20327640 its reverse (4672302), we get a palindrome (24999942).

The spelling of 20327640 in words is "twenty million, three hundred twenty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 244 305 366 488 610 732 915 1220 1464 1830 2440 2777 3660 5554 7320 8331 11108 13885 16662 22216 27770 33324 41655 55540 66648 83310 111080 166620 169397 333240 338794 508191 677588 846985 1016382 1355176 1693970 2032764 2540955 3387940 4065528 5081910 6775880 10163820 20327640