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2541380940 = 223357672323
BaseRepresentation
bin1001011101111010…
…0110010101001100
320120010001112021000
42113132212111030
520201043142230
61100102340300
7116656244610
oct22736462514
96503045230
102541380940
1110945a812a
125ab12a690
1331668a707
141a1743340
15ed1a1b60
hex977a654c

2541380940 has 96 divisors (see below), whose sum is σ = 9036034560. Its totient is φ = 580886208.

The previous prime is 2541380939. The next prime is 2541380981. The reversal of 2541380940 is 490831452.

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

It is a junction number, because it is equal to n+sod(n) for n = 2541380895 and 2541380904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332382 + ... + 339941.

It is an arithmetic number, because the mean of its divisors is an integer number (94125360).

Almost surely, 22541380940 is an apocalyptic number.

2541380940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2541380940 is an abundant number, since it is smaller than the sum of its proper divisors (6494653620).

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

2541380940 is a wasteful number, since it uses less digits than its factorization.

2541380940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672348 (or 672340 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2541380940 is about 50412.1110448670. Note that the first 3 decimals coincide. The cubic root of 2541380940 is about 1364.6562109691.

The spelling of 2541380940 in words is "two billion, five hundred forty-one million, three hundred eighty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 672323 1344646 2016969 2689292 3361615 4033938 4706261 6050907 6723230 8067876 9412522 10084845 12101814 13446460 14118783 18152721 18825044 20169690 23531305 24203628 28237566 30254535 36305442 40339380 42356349 47062610 56475132 60509070 70593915 72610884 84712698 90763605 94125220 121018140 127069047 141187830 169425396 181527210 211781745 254138094 282375660 363054420 423563490 508276188 635345235 847126980 1270690470 2541380940