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12324720 = 243589577
BaseRepresentation
bin101111000000…
…111101110000
3212012011100010
4233000331300
511123342340
61120054520
7206521062
oct57007560
925164303
1012324720
116a58821
124164440
132726a45
1418cb732
151136b80
hexbc0f70

12324720 has 80 divisors (see below), whose sum is σ = 38702880. Its totient is φ = 3244032.

The previous prime is 12324691. The next prime is 12324731. The reversal of 12324720 is 2742321.

12324720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21072 + ... + 21648.

It is an arithmetic number, because the mean of its divisors is an integer number (483786).

Almost surely, 212324720 is an apocalyptic number.

12324720 is a gapful number since it is divisible by the number (10) 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 12324720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19351440).

12324720 is an abundant number, since it is smaller than the sum of its proper divisors (26378160).

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

12324720 is a wasteful number, since it uses less digits than its factorization.

12324720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 676 counting only the distinct ones).

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

The square root of 12324720 is about 3510.6580579715. The cubic root of 12324720 is about 230.9895611932.

The spelling of 12324720 in words is "twelve million, three hundred twenty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 89 120 178 240 267 356 445 534 577 712 890 1068 1154 1335 1424 1731 1780 2136 2308 2670 2885 3462 3560 4272 4616 5340 5770 6924 7120 8655 9232 10680 11540 13848 17310 21360 23080 27696 34620 46160 51353 69240 102706 138480 154059 205412 256765 308118 410824 513530 616236 770295 821648 1027060 1232472 1540590 2054120 2464944 3081180 4108240 6162360 12324720