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12309720 = 2335195399
BaseRepresentation
bin101110111101…
…010011011000
3212011101202120
4232331103120
511122402340
61115501240
7206426253
oct56752330
925141676
1012309720
116a48525
124157820
13271cc77
1418c609a
1511324d0
hexbbd4d8

12309720 has 64 divisors (see below), whose sum is σ = 38880000. Its totient is φ = 3109248.

The previous prime is 12309719. The next prime is 12309721. The reversal of 12309720 is 2790321.

It is an interprime number because it is at equal distance from previous prime (12309719) and next prime (12309721).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12309721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420 + ... + 4979.

It is an arithmetic number, because the mean of its divisors is an integer number (607500).

Almost surely, 212309720 is an apocalyptic number.

12309720 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 12309720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19440000).

12309720 is an abundant number, since it is smaller than the sum of its proper divisors (26570280).

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

12309720 is a wasteful number, since it uses less digits than its factorization.

12309720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5432 (or 5428 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 12309720 is about 3508.5210559437. The cubic root of 12309720 is about 230.8958132888.

The spelling of 12309720 in words is "twelve million, three hundred nine thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 5399 10798 16197 21596 26995 32394 43192 53990 64788 80985 102581 107980 129576 161970 205162 215960 307743 323940 410324 512905 615486 647880 820648 1025810 1230972 1538715 2051620 2461944 3077430 4103240 6154860 12309720