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12667040 = 255174657
BaseRepresentation
bin110000010100…
…100010100000
3212211112220122
4300110202200
511220321130
61131255412
7212445101
oct60244240
925745818
1012667040
117171a31
1242aa568
1328167b9
14197a3a8
1511a32e5
hexc148a0

12667040 has 48 divisors (see below), whose sum is σ = 31693032. Its totient is φ = 4767744.

The previous prime is 12667037. The next prime is 12667051. The reversal of 12667040 is 4076621.

It can be written as a sum of positive squares in 4 ways, for example, as 9412624 + 3254416 = 3068^2 + 1804^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 392 + ... + 5048.

Almost surely, 212667040 is an apocalyptic number.

12667040 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 12667040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15846516).

12667040 is an abundant number, since it is smaller than the sum of its proper divisors (19025992).

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

12667040 is a wasteful number, since it uses less digits than its factorization.

12667040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4689 (or 4681 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 12667040 is about 3559.0785324294. The cubic root of 12667040 is about 233.1086453846.

The spelling of 12667040 in words is "twelve million, six hundred sixty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 4657 9314 18628 23285 37256 46570 74512 79169 93140 149024 158338 186280 316676 372560 395845 633352 745120 791690 1266704 1583380 2533408 3166760 6333520 12667040