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26421120 = 2733511139
BaseRepresentation
bin110010011001…
…0011110000000
31211201022222000
41210302132000
523230433440
62342144000
7440401335
oct144623600
954638860
1026421120
1113a06640
128a22000
135620ccb
14371a98c
1524bd730
hex1932780

26421120 has 256 divisors, whose sum is σ = 102816000. Its totient is φ = 6359040.

The previous prime is 26421119. The next prime is 26421133. The reversal of 26421120 is 2112462.

26421120 is a `hidden beast` number, since 2 + 642 + 1 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 26421093 and 26421102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190011 + ... + 190149.

It is an arithmetic number, because the mean of its divisors is an integer number (401625).

Almost surely, 226421120 is an apocalyptic number.

26421120 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 26421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51408000).

26421120 is an abundant number, since it is smaller than the sum of its proper divisors (76394880).

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

26421120 is a wasteful number, since it uses less digits than its factorization.

26421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 26421120 is about 5140.1478577955. The cubic root of 26421120 is about 297.8404923889.

Adding to 26421120 its reverse (2112462), we get a palindrome (28533582).

The spelling of 26421120 in words is "twenty-six million, four hundred twenty-one thousand, one hundred twenty".