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12328920 = 23325231489
BaseRepresentation
bin101111000001…
…111111011000
3212012101002200
4233001333120
511124011140
61120130200
7206536242
oct57017730
925171080
1012328920
116a6099a
124166960
132728926
1418cd092
151138030
hexbc1fd8

12328920 has 96 divisors (see below), whose sum is σ = 41839200. Its totient is φ = 3142656.

The previous prime is 12328919. The next prime is 12328933. The reversal of 12328920 is 2982321.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7536 + ... + 9024.

It is an arithmetic number, because the mean of its divisors is an integer number (435825).

Almost surely, 212328920 is an apocalyptic number.

12328920 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 12328920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20919600).

12328920 is an abundant number, since it is smaller than the sum of its proper divisors (29510280).

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

12328920 is a wasteful number, since it uses less digits than its factorization.

12328920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12328920 is about 3511.2561854698. The cubic root of 12328920 is about 231.0157969745.

The spelling of 12328920 in words is "twelve million, three hundred twenty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1489 1656 2070 2760 2978 4140 4467 5956 7445 8280 8934 11912 13401 14890 17868 22335 26802 29780 34247 35736 44670 53604 59560 67005 68494 89340 102741 107208 134010 136988 171235 178680 205482 268020 273976 308223 342470 410964 513705 536040 616446 684940 821928 1027410 1232892 1369880 1541115 2054820 2465784 3082230 4109640 6164460 12328920