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2732509680 = 243522735009
BaseRepresentation
bin1010001011011110…
…1100100111110000
321001102200212121020
42202313230213300
521044010302210
61131051055440
7124466643345
oct24267544760
97042625536
102732509680
111182480a6a
12643141580
13347159b44
141bcc967cc
1510ed57770
hexa2dec9f0

2732509680 has 80 divisors (see below), whose sum is σ = 8476198560. Its totient is φ = 728203264.

The previous prime is 2732509673. The next prime is 2732509693. The reversal of 2732509680 is 869052372.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 543016 + ... + 548024.

It is an arithmetic number, because the mean of its divisors is an integer number (105952482).

Almost surely, 22732509680 is an apocalyptic number.

2732509680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2732509680 is an abundant number, since it is smaller than the sum of its proper divisors (5743688880).

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

2732509680 is a wasteful number, since it uses less digits than its factorization.

2732509680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7298 (or 7292 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 2732509680 is about 52273.4127449127. The cubic root of 2732509680 is about 1398.0431299769.

The spelling of 2732509680 in words is "two billion, seven hundred thirty-two million, five hundred nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2273 4546 5009 6819 9092 10018 11365 13638 15027 18184 20036 22730 25045 27276 30054 34095 36368 40072 45460 50090 54552 60108 68190 75135 80144 90920 100180 109104 120216 136380 150270 181840 200360 240432 272760 300540 400720 545520 601080 1202160 11385457 22770914 34156371 45541828 56927285 68312742 91083656 113854570 136625484 170781855 182167312 227709140 273250968 341563710 455418280 546501936 683127420 910836560 1366254840 2732509680