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12109410 = 2325157857
BaseRepresentation
bin101110001100…
…011001100010
3211210012222200
4232030121202
511100000120
61111314030
7204633255
oct56143142
924705880
1012109410
116920a85
12407b916
13267ca41
14187309c
1510e2e90
hexb8c662

12109410 has 48 divisors (see below), whose sum is σ = 31721976. Its totient is φ = 3204864.

The previous prime is 12109381. The next prime is 12109411. The reversal of 12109410 is 1490121.

12109410 = 1962 + 1972 + ... + 3522.

It can be written as a sum of positive squares in 4 ways, for example, as 10949481 + 1159929 = 3309^2 + 1077^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (12109411) 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 23 ways as a sum of consecutive naturals, for example, 13702 + ... + 14558.

Almost surely, 212109410 is an apocalyptic number.

12109410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12109410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15860988).

12109410 is an abundant number, since it is smaller than the sum of its proper divisors (19612566).

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

12109410 is a wasteful number, since it uses less digits than its factorization.

12109410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 12109410 is about 3479.8577557136. The cubic root of 12109410 is about 229.6365399926.

Adding to 12109410 its reverse (1490121), we get a palindrome (13599531).

It can be divided in two parts, 121094 and 10, that added together give a square (121104 = 3482).

The spelling of 12109410 in words is "twelve million, one hundred nine thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 157 314 471 785 857 942 1413 1570 1714 2355 2571 2826 4285 4710 5142 7065 7713 8570 12855 14130 15426 25710 38565 77130 134549 269098 403647 672745 807294 1210941 1345490 2018235 2421882 4036470 6054705 12109410