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12306720 = 253525639
BaseRepresentation
bin101110111100…
…100100100000
3212011020122110
4232330210200
511122303340
61115435320
7206414436
oct56744440
925136573
1012306720
116a46248
124155b40
13271b7aa
1418c4d56
151131680
hexbbc920

12306720 has 48 divisors (see below), whose sum is σ = 38767680. Its totient is φ = 3281664.

The previous prime is 12306719. The next prime is 12306727. The reversal of 12306720 is 2760321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (12306727) 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 7 ways as a sum of consecutive naturals, for example, 12340 + ... + 13299.

It is an arithmetic number, because the mean of its divisors is an integer number (807660).

Almost surely, 212306720 is an apocalyptic number.

12306720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12306720 is an abundant number, since it is smaller than the sum of its proper divisors (26460960).

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

12306720 is a wasteful number, since it uses less digits than its factorization.

12306720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25657 (or 25649 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 12306720 is about 3508.0934993241. The cubic root of 12306720 is about 230.8770545702.

The spelling of 12306720 in words is "twelve million, three hundred six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 25639 51278 76917 102556 128195 153834 205112 256390 307668 384585 410224 512780 615336 769170 820448 1025560 1230672 1538340 2051120 2461344 3076680 4102240 6153360 12306720