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12309920 = 255729379
BaseRepresentation
bin101110111101…
…010110100000
3212011102000222
4232331112200
511122404140
61115502212
7206426660
oct56752640
925142028
1012309920
116a48697
124157968
13272009c
1418c61a0
1511325b5
hexbbd5a0

12309920 has 96 divisors (see below), whose sum is σ = 34473600. Its totient is φ = 4064256.

The previous prime is 12309907. The next prime is 12309931. The reversal of 12309920 is 2990321.

It is a self number, because there is not a number n which added to its sum of digits gives 12309920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32291 + ... + 32669.

It is an arithmetic number, because the mean of its divisors is an integer number (359100).

Almost surely, 212309920 is an apocalyptic number.

12309920 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 12309920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236800).

12309920 is an abundant number, since it is smaller than the sum of its proper divisors (22163680).

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

12309920 is a wasteful number, since it uses less digits than its factorization.

12309920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 12309920 is about 3508.5495578658. The cubic root of 12309920 is about 230.8970637616.

The spelling of 12309920 in words is "twelve million, three hundred nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 70 80 112 116 140 145 160 203 224 232 280 290 379 406 464 560 580 758 812 928 1015 1120 1160 1516 1624 1895 2030 2320 2653 3032 3248 3790 4060 4640 5306 6064 6496 7580 8120 10612 10991 12128 13265 15160 16240 21224 21982 26530 30320 32480 42448 43964 53060 54955 60640 76937 84896 87928 106120 109910 153874 175856 212240 219820 307748 351712 384685 424480 439640 615496 769370 879280 1230992 1538740 1758560 2461984 3077480 6154960 12309920