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12949104 = 2437172267
BaseRepresentation
bin110001011001…
…011001110000
3220100212211110
4301121121300
511303332404
61141313320
7215031330
oct61313160
926325743
1012949104
117344943
124405840
1328b4cbc
141a110c0
15120bb89
hexc59670

12949104 has 80 divisors (see below), whose sum is σ = 40497408. Its totient is φ = 3480576.

The previous prime is 12949081. The next prime is 12949117. The reversal of 12949104 is 40194921.

It is a congruent number.

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, 4579 + ... + 6845.

Almost surely, 212949104 is an apocalyptic number.

12949104 is a gapful number since it is divisible by the number (14) 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 12949104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20248704).

12949104 is an abundant number, since it is smaller than the sum of its proper divisors (27548304).

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

12949104 is a wasteful number, since it uses less digits than its factorization.

12949104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 12949104 is about 3598.4863484526. The cubic root of 12949104 is about 234.8262122391.

The spelling of 12949104 in words is "twelve million, nine hundred forty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 714 816 952 1428 1904 2267 2856 4534 5712 6801 9068 13602 15869 18136 27204 31738 36272 38539 47607 54408 63476 77078 95214 108816 115617 126952 154156 190428 231234 253904 269773 308312 380856 462468 539546 616624 761712 809319 924936 1079092 1618638 1849872 2158184 3237276 4316368 6474552 12949104