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26130000 = 243541367
BaseRepresentation
bin110001110101…
…1011001010000
31211011112121210
41203223121100
523142130000
62332020120
7435046521
oct143533120
954145553
1026130000
1113827946
128901640
13554b650
143682848
152462350
hex18eb650

26130000 has 200 divisors, whose sum is σ = 92195488. Its totient is φ = 6336000.

The previous prime is 26129963. The next prime is 26130011. The reversal of 26130000 is 3162.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 389967 + ... + 390033.

Almost surely, 226130000 is an apocalyptic number.

26130000 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 26130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46097744).

26130000 is an abundant number, since it is smaller than the sum of its proper divisors (66065488).

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

26130000 is a wasteful number, since it uses less digits than its factorization.

26130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 26130000 is about 5111.7511676528. The cubic root of 26130000 is about 296.7425355482.

Adding to 26130000 its reverse (3162), we get a palindrome (26133162).

The spelling of 26130000 in words is "twenty-six million, one hundred thirty thousand".