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12339040 = 255723479
BaseRepresentation
bin101111000100…
…011101100000
3212012212222111
4233010131200
511124322130
61120245104
7206610610
oct57043540
925185874
1012339040
116a6855a
124170794
13273040c
1418d2a40
15113b02a
hexbc4760

12339040 has 96 divisors (see below), whose sum is σ = 34836480. Its totient is φ = 4038144.

The previous prime is 12339031. The next prime is 12339043. The reversal of 12339040 is 4093321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12339043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25521 + ... + 25999.

It is an arithmetic number, because the mean of its divisors is an integer number (362880).

Almost surely, 212339040 is an apocalyptic number.

12339040 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 12339040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240).

12339040 is an abundant number, since it is smaller than the sum of its proper divisors (22497440).

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

12339040 is a wasteful number, since it uses less digits than its factorization.

12339040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 12339040 is about 3512.6969695663. The cubic root of 12339040 is about 231.0789882485.

The spelling of 12339040 in words is "twelve million, three hundred thirty-nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 70 80 92 112 115 140 160 161 184 224 230 280 322 368 460 479 560 644 736 805 920 958 1120 1288 1610 1840 1916 2395 2576 3220 3353 3680 3832 4790 5152 6440 6706 7664 9580 11017 12880 13412 15328 16765 19160 22034 25760 26824 33530 38320 44068 53648 55085 67060 76640 77119 88136 107296 110170 134120 154238 176272 220340 268240 308476 352544 385595 440680 536480 616952 771190 881360 1233904 1542380 1762720 2467808 3084760 6169520 12339040