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12917910 = 23519131173
BaseRepresentation
bin110001010001…
…110010010110
3220022022001010
4301101302112
511301333120
61140513050
7214541355
oct61216226
926268033
1012917910
117323465
1243ab786
1328a3a45
141a0399c
1512027e0
hexc51c96

12917910 has 64 divisors (see below), whose sum is σ = 33073920. Its totient is φ = 3219840.

The previous prime is 12917833. The next prime is 12917939. The reversal of 12917910 is 1971921.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 74584 + ... + 74756.

It is an arithmetic number, because the mean of its divisors is an integer number (516780).

Almost surely, 212917910 is an apocalyptic number.

12917910 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 12917910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16536960).

12917910 is an abundant number, since it is smaller than the sum of its proper divisors (20156010).

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

12917910 is a wasteful number, since it uses less digits than its factorization.

12917910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333.

The product of its (nonzero) digits is 1134, while the sum is 30.

The square root of 12917910 is about 3594.1494125871. The cubic root of 12917910 is about 234.6374975402.

The spelling of 12917910 in words is "twelve million, nine hundred seventeen thousand, nine hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 131 173 190 262 285 346 393 519 570 655 786 865 1038 1310 1730 1965 2489 2595 3287 3930 4978 5190 6574 7467 9861 12445 14934 16435 19722 22663 24890 32870 37335 45326 49305 67989 74670 98610 113315 135978 226630 339945 430597 679890 861194 1291791 2152985 2583582 4305970 6458955 12917910