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2020441302 = 2321122353761
BaseRepresentation
bin111100001101101…
…0111110011010110
312012210211001102100
41320123113303112
513114213110202
6532253022530
7101032316265
oct17033276326
95183731370
102020441302
11947539500
12484784a46
132627835c9
1415249a5dc
15bc59e41c
hex786d7cd6

2020441302 has 144 divisors (see below), whose sum is σ = 5122432224. Its totient is φ = 573830400.

The previous prime is 2020441289. The next prime is 2020441333. The reversal of 2020441302 is 2031440202.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2654602 + ... + 2655362.

It is an arithmetic number, because the mean of its divisors is an integer number (35572446).

Almost surely, 22020441302 is an apocalyptic number.

2020441302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2020441302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561216112).

2020441302 is an abundant number, since it is smaller than the sum of its proper divisors (3101990922).

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

2020441302 is a wasteful number, since it uses less digits than its factorization.

2020441302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2020441302 is about 44949.3192606963. The cubic root of 2020441302 is about 1264.1989130924.

Adding to 2020441302 its reverse (2031440202), we get a palindrome (4051881504).

The spelling of 2020441302 in words is "two billion, twenty million, four hundred forty-one thousand, three hundred two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 53 66 69 99 106 121 138 159 198 207 242 253 318 363 414 477 506 583 726 759 761 954 1089 1166 1219 1518 1522 1749 2178 2277 2283 2438 2783 3498 3657 4554 4566 5247 5566 6413 6849 7314 8349 8371 10494 10971 12826 13409 13698 16698 16742 17503 19239 21942 25047 25113 26818 35006 38478 40227 40333 50094 50226 52509 57717 75339 80454 80666 92081 105018 115434 120681 120999 147499 150678 157527 184162 192533 241362 241998 276243 294998 315054 362997 385066 442497 443663 552486 577599 725994 828729 884994 887326 927659 1155198 1327491 1330989 1657458 1732797 1855318 2117863 2654982 2661978 2782977 3465594 3992967 4235726 4880293 5565954 6353589 7985934 8348931 9760586 10204249 12707178 14640879 16697862 19060767 20408498 29281758 30612747 38121534 43922637 61225494 87845274 91838241 112246739 183676482 224493478 336740217 673480434 1010220651 2020441302