Search a number
-
+
20389680 = 2432528319
BaseRepresentation
bin100110111000…
…1111100110000
31102100220101100
41031301330300
520204432210
62005004400
7335211063
oct115617460
942326340
1020389680
1110567083
1269b3700
1342bb8cc
1429ca8da
151bcb5c0
hex1371f30

20389680 has 60 divisors (see below), whose sum is σ = 68477760. Its totient is φ = 5437056.

The previous prime is 20389667. The next prime is 20389727. The reversal of 20389680 is 8698302.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 13440 + ... + 14879.

It is an arithmetic number, because the mean of its divisors is an integer number (1141296).

Almost surely, 220389680 is an apocalyptic number.

20389680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20389680 is an abundant number, since it is smaller than the sum of its proper divisors (48088080).

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

20389680 is a wasteful number, since it uses less digits than its factorization.

20389680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28338 (or 28329 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 20389680 is about 4515.4933285301. The cubic root of 20389680 is about 273.1933581671.

The spelling of 20389680 in words is "twenty million, three hundred eighty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 28319 56638 84957 113276 141595 169914 226552 254871 283190 339828 424785 453104 509742 566380 679656 849570 1019484 1132760 1274355 1359312 1699140 2038968 2265520 2548710 3398280 4077936 5097420 6796560 10194840 20389680