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12923280 = 2433531193
BaseRepresentation
bin110001010011…
…000110010000
3220022120102000
4301103012100
511302021110
61140554000
7214563126
oct61230620
926276360
1012923280
1173274a7
1243b2900
1328a6316
141a05916
1512041c0
hexc53190

12923280 has 160 divisors (see below), whose sum is σ = 46187520. Its totient is φ = 3317760.

The previous prime is 12923279. The next prime is 12923293. The reversal of 12923280 is 8232921.

It is a happy number.

It is a super-2 number, since 2×129232802 = 334022331916800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66864 + ... + 67056.

It is an arithmetic number, because the mean of its divisors is an integer number (288672).

Almost surely, 212923280 is an apocalyptic number.

12923280 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 12923280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23093760).

12923280 is an abundant number, since it is smaller than the sum of its proper divisors (33264240).

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

12923280 is a wasteful number, since it uses less digits than its factorization.

12923280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 234 counting only the distinct ones).

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

The square root of 12923280 is about 3594.8963823732. The cubic root of 12923280 is about 234.6700061221.

It can be divided in two parts, 12923 and 280, that added together give a triangular number (13203 = T162).

The spelling of 12923280 in words is "twelve million, nine hundred twenty-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 36 40 45 48 54 60 62 72 80 90 93 108 120 124 135 144 155 180 186 193 216 240 248 270 279 310 360 372 386 432 465 496 540 558 579 620 720 744 772 837 930 965 1080 1116 1158 1240 1395 1488 1544 1674 1737 1860 1930 2160 2232 2316 2480 2790 2895 3088 3348 3474 3720 3860 4185 4464 4632 5211 5580 5790 5983 6696 6948 7440 7720 8370 8685 9264 10422 11160 11580 11966 13392 13896 15440 16740 17370 17949 20844 22320 23160 23932 26055 27792 29915 33480 34740 35898 41688 46320 47864 52110 53847 59830 66960 69480 71796 83376 89745 95728 104220 107694 119660 138960 143592 161541 179490 208440 215388 239320 269235 287184 323082 358980 416880 430776 478640 538470 646164 717960 807705 861552 1076940 1292328 1435920 1615410 2153880 2584656 3230820 4307760 6461640 12923280