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12917760 = 21035292
BaseRepresentation
bin110001010001…
…110000000000
3220022021211120
4301101300000
511301332020
61140512240
7214541052
oct61216000
926267746
1012917760
117323339
1243ab680
1328a395b
141a038d2
151202740
hexc51c00

12917760 has 132 divisors (see below), whose sum is σ = 42790488. Its totient is φ = 3325952.

The previous prime is 12917741. The next prime is 12917761. The reversal of 12917760 is 6771921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12917761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 445426 + ... + 445454.

Almost surely, 212917760 is an apocalyptic number.

12917760 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 12917760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21395244).

12917760 is an abundant number, since it is smaller than the sum of its proper divisors (29872728).

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

12917760 is an equidigital number, since it uses as much as digits as its factorization.

12917760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

The square root of 12917760 is about 3594.1285452805. The cubic root of 12917760 is about 234.6365893499.

The spelling of 12917760 in words is "twelve million, nine hundred seventeen thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 256 290 320 348 384 435 464 480 512 580 640 696 768 841 870 928 960 1024 1160 1280 1392 1536 1682 1740 1856 1920 2320 2523 2560 2784 3072 3364 3480 3712 3840 4205 4640 5046 5120 5568 6728 6960 7424 7680 8410 9280 10092 11136 12615 13456 13920 14848 15360 16820 18560 20184 22272 25230 26912 27840 29696 33640 37120 40368 44544 50460 53824 55680 67280 74240 80736 89088 100920 107648 111360 134560 148480 161472 201840 215296 222720 269120 322944 403680 430592 445440 538240 645888 807360 861184 1076480 1291776 1614720 2152960 2583552 3229440 4305920 6458880 12917760