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12773040 = 243577603
BaseRepresentation
bin110000101110…
…011010110000
3220000221022120
4300232122300
511232214130
61133434240
7213366120
oct60563260
926027276
1012773040
117234635
12433b980
132852b17
1419a6c80
1511c4910
hexc2e6b0

12773040 has 80 divisors (see below), whose sum is σ = 45259008. Its totient is φ = 2919168.

The previous prime is 12773011. The next prime is 12773041. The reversal of 12773040 is 4037721.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12773040.

It is not an unprimeable number, because it can be changed into a prime (12773041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2122 + ... + 5481.

Almost surely, 212773040 is an apocalyptic number.

12773040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12773040 is an abundant number, since it is smaller than the sum of its proper divisors (32485968).

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

12773040 is a wasteful number, since it uses less digits than its factorization.

12773040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7626 (or 7620 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 12773040 is about 3573.9390033967. The cubic root of 12773040 is about 233.7570712875.

The spelling of 12773040 in words is "twelve million, seven hundred seventy-three thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 7603 15206 22809 30412 38015 45618 53221 60824 76030 91236 106442 114045 121648 152060 159663 182472 212884 228090 266105 304120 319326 364944 425768 456180 532210 608240 638652 798315 851536 912360 1064420 1277304 1596630 1824720 2128840 2554608 3193260 4257680 6386520 12773040