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12391840 = 255411889
BaseRepresentation
bin101111010001…
…010110100000
3212022120102001
4233101112200
511133014330
61121333344
7210220546
oct57212640
925276361
1012391840
116aa419a
124197254
13274b466
141907d96
15114b9ca
hexbd15a0

12391840 has 48 divisors (see below), whose sum is σ = 30005640. Its totient is φ = 4833280.

The previous prime is 12391831. The next prime is 12391867. The reversal of 12391840 is 4819321.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6574096 + 5817744 = 2564^2 + 2412^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12391799 and 12391808.

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 7 ways as a sum of consecutive naturals, for example, 5616 + ... + 7504.

Almost surely, 212391840 is an apocalyptic number.

12391840 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 12391840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15002820).

12391840 is an abundant number, since it is smaller than the sum of its proper divisors (17613800).

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

12391840 is a wasteful number, since it uses less digits than its factorization.

12391840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 12391840 is about 3520.2045395119. The cubic root of 12391840 is about 231.4081226806.

It can be divided in two parts, 12391 and 840, that added together give a palindrome (13231).

The spelling of 12391840 in words is "twelve million, three hundred ninety-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 1889 3280 3778 6560 7556 9445 15112 18890 30224 37780 60448 75560 77449 151120 154898 302240 309796 387245 619592 774490 1239184 1548980 2478368 3097960 6195920 12391840