Search a number
-
+
20365789440 = 283517929629
BaseRepresentation
bin10010111101111001…
…010100100100000000
31221120022211022000210
4102331321110210000
5313202120230230
613204513314120
71320453232263
oct227571244400
957508738023
1020365789440
118700a59047
123b44565940
131bc73cb8a9
14db2b02cda
157e2e22eb0
hex4bde54900

20365789440 has 144 divisors (see below), whose sum is σ = 65408817600. Its totient is φ = 5400354816.

The previous prime is 20365789403. The next prime is 20365789453. The reversal of 20365789440 is 4498756302.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 20365789440.

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, 672546 + ... + 702174.

It is an arithmetic number, because the mean of its divisors is an integer number (454227900).

Almost surely, 220365789440 is an apocalyptic number.

20365789440 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 20365789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32704408800).

20365789440 is an abundant number, since it is smaller than the sum of its proper divisors (45043028160).

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

20365789440 is a wasteful number, since it uses less digits than its factorization.

20365789440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29832 (or 29818 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 20365789440 in words is "twenty billion, three hundred sixty-five million, seven hundred eighty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 179 192 240 256 320 358 384 480 537 640 716 768 895 960 1074 1280 1432 1790 1920 2148 2685 2864 3580 3840 4296 5370 5728 7160 8592 10740 11456 14320 17184 21480 22912 28640 29629 34368 42960 45824 57280 59258 68736 85920 88887 114560 118516 137472 148145 171840 177774 229120 237032 296290 343680 355548 444435 474064 592580 687360 711096 888870 948128 1185160 1422192 1777740 1896256 2370320 2844384 3555480 3792512 4740640 5303591 5688768 7110960 7585024 9481280 10607182 11377536 14221920 15910773 18962560 21214364 22755072 26517955 28443840 31821546 37925120 42428728 53035910 56887680 63643092 79553865 84857456 106071820 113775360 127286184 159107730 169714912 212143640 254572368 318215460 339429824 424287280 509144736 636430920 678859648 848574560 1018289472 1272861840 1357719296 1697149120 2036578944 2545723680 3394298240 4073157888 5091447360 6788596480 10182894720 20365789440