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12329280 = 263351427
BaseRepresentation
bin101111000010…
…000101000000
3212012101121000
4233002011000
511124014110
61120132000
7206540265
oct57020500
925171530
1012329280
116a61197
124167000
132728b42
1418cd26c
1511381c0
hexbc2140

12329280 has 112 divisors (see below), whose sum is σ = 43525440. Its totient is φ = 3285504.

The previous prime is 12329279. The next prime is 12329297. The reversal of 12329280 is 8292321.

It is a happy number.

It is a super-2 number, since 2×123292802 = 304022290636800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 7927 + ... + 9353.

It is an arithmetic number, because the mean of its divisors is an integer number (388620).

Almost surely, 212329280 is an apocalyptic number.

12329280 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 12329280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21762720).

12329280 is an abundant number, since it is smaller than the sum of its proper divisors (31196160).

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

12329280 is a wasteful number, since it uses less digits than its factorization.

12329280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453 (or 1437 counting only the distinct ones).

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

The square root of 12329280 is about 3511.3074488002. The cubic root of 12329280 is about 231.0180454784.

It can be divided in two parts, 123 and 29280, that added together give a triangular number (29403 = T242).

The spelling of 12329280 in words is "twelve million, three hundred twenty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1427 1440 1728 2160 2854 2880 4281 4320 5708 7135 8562 8640 11416 12843 14270 17124 21405 22832 25686 28540 34248 38529 42810 45664 51372 57080 64215 68496 77058 85620 91328 102744 114160 128430 136992 154116 171240 192645 205488 228320 256860 273984 308232 342480 385290 410976 456640 513720 616464 684960 770580 821952 1027440 1232928 1369920 1541160 2054880 2465856 3082320 4109760 6164640 12329280