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2730120240 = 243523494587
BaseRepresentation
bin1010001010111010…
…0101010000110000
321001021012110220110
42202232211100300
521042402321430
61130523541320
7124440432141
oct24256452060
97037173813
102730120240
111181099821
1264238a840
13346801383
141bc833ac8
1510ea347b0
hexa2ba5430

2730120240 has 80 divisors (see below), whose sum is σ = 8831363328. Its totient is φ = 696377088.

The previous prime is 2730120229. The next prime is 2730120247. The reversal of 2730120240 is 420210372.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2730120247) 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 15 ways as a sum of consecutive naturals, for example, 241774 + ... + 252813.

Almost surely, 22730120240 is an apocalyptic number.

2730120240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2730120240 is an abundant number, since it is smaller than the sum of its proper divisors (6101243088).

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

2730120240 is a wasteful number, since it uses less digits than its factorization.

2730120240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494626 (or 494620 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 2730120240 is about 52250.5525329637. The cubic root of 2730120240 is about 1397.6355053935.

The spelling of 2730120240 in words is "two billion, seven hundred thirty million, one hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 494587 989174 1483761 1978348 2472935 2967522 3956696 4945870 5935044 7418805 7913392 9891740 11375501 11870088 14837610 19783480 22751002 23740176 29675220 34126503 39566960 45502004 56877505 59350440 68253006 91004008 113755010 118700880 136506012 170632515 182008016 227510020 273012024 341265030 455020040 546024048 682530060 910040080 1365060120 2730120240