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20003432240 = 245111031991109
BaseRepresentation
bin10010101000010011…
…000010011100110000
31220122001222122101202
4102220103002130300
5311431334312430
613104530550332
71305463240301
oct225023023460
956561878352
1020003432240
118535463790
123a631383a8
131b6a309c4c
14d7a93a7a8
157c11e7d45
hex4a84c2730

20003432240 has 160 divisors (see below), whose sum is σ = 51532416000. Its totient is φ = 7160693760.

The previous prime is 20003432203. The next prime is 20003432249. The reversal of 20003432240 is 4223430002.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (20003432249) 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 31 ways as a sum of consecutive naturals, for example, 18036806 + ... + 18037914.

It is an arithmetic number, because the mean of its divisors is an integer number (322077600).

Almost surely, 220003432240 is an apocalyptic number.

20003432240 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 20003432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25766208000).

20003432240 is an abundant number, since it is smaller than the sum of its proper divisors (31528983760).

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

20003432240 is a wasteful number, since it uses less digits than its factorization.

20003432240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 20003432240 its reverse (4223430002), we get a palindrome (24226862242).

The spelling of 20003432240 in words is "twenty billion, three million, four hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 103 110 176 199 206 220 398 412 440 515 796 824 880 995 1030 1109 1133 1592 1648 1990 2060 2189 2218 2266 3184 3980 4120 4378 4436 4532 5545 5665 7960 8240 8756 8872 9064 10945 11090 11330 12199 15920 17512 17744 18128 20497 21890 22180 22660 24398 35024 40994 43780 44360 45320 48796 60995 81988 87560 88720 90640 97592 102485 114227 121990 163976 175120 195184 204970 220691 225467 228454 243980 327952 409940 441382 450934 456908 487960 571135 819880 882764 901868 913816 975920 1103455 1127335 1142270 1256497 1639760 1765528 1803736 1827632 2206910 2254670 2284540 2427601 2512994 3531056 3607472 4413820 4509340 4569080 4855202 5025988 6282485 8827640 9018680 9138160 9710404 10051976 12138005 12564970 17655280 18037360 19420808 20103952 22731173 24276010 25129940 38841616 45462346 48552020 50259880 90924692 97104040 100519760 113655865 181849384 194208080 227311730 250042903 363698768 454623460 500085806 909246920 1000171612 1250214515 1818493840 2000343224 2500429030 4000686448 5000858060 10001716120 20003432240