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2673204840 = 2332511365713
BaseRepresentation
bin1001111101010101…
…1101111001101000
320220022002212122200
42133111131321220
520433320023330
61121132020200
7123146603055
oct23725357150
96808085580
102673204840
111151a553a9
12627301660
13337a94417
141b505a02c
15109a40a60
hex9f55de68

2673204840 has 96 divisors (see below), whose sum is σ = 8764933320. Its totient is φ = 706535424.

The previous prime is 2673204817. The next prime is 2673204841. The reversal of 2673204840 is 484023762.

It can be written as a sum of positive squares in 4 ways, for example, as 1866758436 + 806446404 = 43206^2 + 28398^2 .

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 = 2673204795 and 2673204804.

It is not an unprimeable number, because it can be changed into a prime (2673204841) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7824 + ... + 73536.

Almost surely, 22673204840 is an apocalyptic number.

2673204840 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 2673204840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4382466660).

2673204840 is an abundant number, since it is smaller than the sum of its proper divisors (6091728480).

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

2673204840 is a wasteful number, since it uses less digits than its factorization.

2673204840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65843 (or 65836 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2673204840 is about 51703.0447846159. The cubic root of 2673204840 is about 1387.8549527717.

The spelling of 2673204840 in words is "two billion, six hundred seventy-three million, two hundred four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 113 120 180 226 339 360 452 565 678 904 1017 1130 1356 1695 2034 2260 2712 3390 4068 4520 5085 6780 8136 10170 13560 20340 40680 65713 131426 197139 262852 328565 394278 525704 591417 657130 788556 985695 1182834 1314260 1577112 1971390 2365668 2628520 2957085 3942780 4731336 5914170 7425569 7885560 11828340 14851138 22276707 23656680 29702276 37127845 44553414 59404552 66830121 74255690 89106828 111383535 133660242 148511380 178213656 222767070 267320484 297022760 334150605 445534140 534640968 668301210 891068280 1336602420 2673204840