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12917380 = 22574269
BaseRepresentation
bin110001010001…
…101010000100
3220022021022111
4301101222010
511301324010
61140510404
7214540000
oct61215204
926267274
1012917380
117323023
1243ab404
1328a3728
141a03700
15120258a
hexc51a84

12917380 has 60 divisors (see below), whose sum is σ = 31763340. Its totient is φ = 4412352.

The previous prime is 12917357. The next prime is 12917389. The reversal of 12917380 is 8371921.

It can be written as a sum of positive squares in 2 ways, for example, as 2458624 + 10458756 = 1568^2 + 3234^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12917389) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47886 + ... + 48154.

It is an arithmetic number, because the mean of its divisors is an integer number (529389).

Almost surely, 212917380 is an apocalyptic number.

12917380 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 12917380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15881670).

12917380 is an abundant number, since it is smaller than the sum of its proper divisors (18845960).

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

12917380 is an equidigital number, since it uses as much as digits as its factorization.

12917380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 12917380 is about 3594.0756808949. The cubic root of 12917380 is about 234.6342885697.

The spelling of 12917380 in words is "twelve million, nine hundred seventeen thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 269 343 490 538 686 980 1076 1345 1372 1715 1883 2401 2690 3430 3766 4802 5380 6860 7532 9415 9604 12005 13181 18830 24010 26362 37660 48020 52724 65905 92267 131810 184534 263620 369068 461335 645869 922670 1291738 1845340 2583476 3229345 6458690 12917380