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2041183980 = 22325111975233
BaseRepresentation
bin111100110101001…
…1111111011101100
312021020211220000200
41321222133323230
513140020341410
6534313353500
7101403530463
oct17152377354
95236756020
102041183980
11958216810
1248b708890
13266b66a94
141551399da
15be2ea3c0
hex79a9feec

2041183980 has 144 divisors (see below), whose sum is σ = 6790047264. Its totient is φ = 492226560.

The previous prime is 2041183973. The next prime is 2041183981. The reversal of 2041183980 is 893811402.

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

It is not an unprimeable number, because it can be changed into a prime (2041183981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 387444 + ... + 392676.

It is an arithmetic number, because the mean of its divisors is an integer number (47153106).

Almost surely, 22041183980 is an apocalyptic number.

2041183980 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 2041183980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3395023632).

2041183980 is an abundant number, since it is smaller than the sum of its proper divisors (4748863284).

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

2041183980 is a wasteful number, since it uses less digits than its factorization.

2041183980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5456 (or 5451 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2041183980 is about 45179.4641402485. The cubic root of 2041183980 is about 1268.5104531938.

The spelling of 2041183980 in words is "two billion, forty-one million, one hundred eighty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 197 198 220 330 394 396 495 591 660 788 985 990 1182 1773 1970 1980 2167 2364 2955 3546 3940 4334 5233 5910 6501 7092 8668 8865 10466 10835 11820 13002 15699 17730 19503 20932 21670 26004 26165 31398 32505 35460 39006 43340 47097 52330 57563 62796 65010 78012 78495 94194 97515 104660 115126 130020 156990 172689 188388 195030 230252 235485 287815 313980 345378 390060 470970 518067 575630 690756 863445 941940 1030901 1036134 1151260 1726890 2061802 2072268 2590335 3092703 3453780 4123604 5154505 5180670 6185406 9278109 10309010 10361340 11339911 12370812 15463515 18556218 20618020 22679822 30927030 34019733 37112436 45359644 46390545 56699555 61854060 68039466 92781090 102059199 113399110 136078932 170098665 185562180 204118398 226798220 340197330 408236796 510295995 680394660 1020591990 2041183980