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12247480 = 2357173183
BaseRepresentation
bin101110101110…
…000110111000
3212001020101101
4232232012320
511113404410
61114301144
7206046640
oct56560670
925036341
1012247480
116a05793
1241277b4
1326ca83b
1418ab520
15111dd3a
hexbae1b8

12247480 has 128 divisors (see below), whose sum is σ = 34836480. Its totient is φ = 3778560.

The previous prime is 12247471. The next prime is 12247507. The reversal of 12247480 is 8474221.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 147519 + ... + 147601.

It is an arithmetic number, because the mean of its divisors is an integer number (272160).

Almost surely, 212247480 is an apocalyptic number.

12247480 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 12247480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240).

12247480 is an abundant number, since it is smaller than the sum of its proper divisors (22589000).

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

12247480 is a wasteful number, since it uses less digits than its factorization.

12247480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 12247480 is about 3499.6399814838. The cubic root of 12247480 is about 230.5060063087.

The spelling of 12247480 in words is "twelve million, two hundred forty-seven thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 31 34 35 40 56 62 68 70 83 85 119 124 136 140 155 166 170 217 238 248 280 310 332 340 415 434 476 527 581 595 620 664 680 830 868 952 1054 1085 1162 1190 1240 1411 1660 1736 2108 2170 2324 2380 2573 2635 2822 2905 3320 3689 4216 4340 4648 4760 5146 5270 5644 5810 7055 7378 8680 9877 10292 10540 11288 11620 12865 14110 14756 18011 18445 19754 20584 21080 23240 25730 28220 29512 36022 36890 39508 43741 49385 51460 56440 72044 73780 79016 87482 90055 98770 102920 144088 147560 174964 180110 197540 218705 306187 349928 360220 395080 437410 612374 720440 874820 1224748 1530935 1749640 2449496 3061870 6123740 12247480