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26380000 = 25541319
BaseRepresentation
bin110010010100…
…0011011100000
31211122020120001
41210220123200
523223130000
62341225344
7440140423
oct144503340
954566501
1026380000
1113988759
128a02254
13560838a
1437099ba
1524b146a
hex19286e0

26380000 has 60 divisors (see below), whose sum is σ = 64947960. Its totient is φ = 10544000.

The previous prime is 26379989. The next prime is 26380007. The reversal of 26380000 is 8362.

It is a self number, because there is not a number n which added to its sum of digits gives 26380000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26380007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19341 + ... + 20659.

It is an arithmetic number, because the mean of its divisors is an integer number (1082466).

Almost surely, 226380000 is an apocalyptic number.

26380000 is a gapful number since it is divisible by the number (20) 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 26380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32473980).

26380000 is an abundant number, since it is smaller than the sum of its proper divisors (38567960).

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

26380000 is an equidigital number, since it uses as much as digits as its factorization.

26380000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 26380000 is about 5136.1464153585. The cubic root of 26380000 is about 297.6858993952.

Adding to 26380000 its reverse (8362), we get a palindrome (26388362).

The spelling of 26380000 in words is "twenty-six million, three hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 1319 2000 2500 2638 4000 5000 5276 6595 10000 10552 13190 20000 21104 26380 32975 42208 52760 65950 105520 131900 164875 211040 263800 329750 527600 659500 824375 1055200 1319000 1648750 2638000 3297500 5276000 6595000 13190000 26380000