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12899760 = 243559911
BaseRepresentation
bin110001001101…
…010110110000
3220021101010220
4301031112300
511300243020
61140253040
7214434426
oct61152660
926241126
1012899760
117310865
1243a1180
1328986c3
1419db116
1511ec240
hexc4d5b0

12899760 has 80 divisors (see below), whose sum is σ = 40711680. Its totient is φ = 3377920.

The previous prime is 12899759. The next prime is 12899773. The reversal of 12899760 is 6799821.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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, 13705 + ... + 14615.

It is an arithmetic number, because the mean of its divisors is an integer number (508896).

Almost surely, 212899760 is an apocalyptic number.

12899760 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 12899760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20355840).

12899760 is an abundant number, since it is smaller than the sum of its proper divisors (27811920).

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

12899760 is a wasteful number, since it uses less digits than its factorization.

12899760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 12899760 is about 3591.6235882954. The cubic root of 12899760 is about 234.5275554352.

The spelling of 12899760 in words is "twelve million, eight hundred ninety-nine thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 118 120 177 236 240 295 354 472 590 708 885 911 944 1180 1416 1770 1822 2360 2733 2832 3540 3644 4555 4720 5466 7080 7288 9110 10932 13665 14160 14576 18220 21864 27330 36440 43728 53749 54660 72880 107498 109320 161247 214996 218640 268745 322494 429992 537490 644988 806235 859984 1074980 1289976 1612470 2149960 2579952 3224940 4299920 6449880 12899760