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26990080 = 29513811
BaseRepresentation
bin110011011110…
…1011000000000
31212210020102121
41212331120000
523402140310
62402254024
7445261165
oct146753000
955706377
1026990080
1114265057
129057314
13578cc80
14382806c
1525820da
hex19bd600

26990080 has 80 divisors (see below), whose sum is σ = 69776784. Its totient is φ = 9953280.

The previous prime is 26990077. The next prime is 26990099. The reversal of 26990080 is 8009962.

It is a tau number, because it is divible by the number of its divisors (80).

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 7 ways as a sum of consecutive naturals, for example, 32875 + ... + 33685.

Almost surely, 226990080 is an apocalyptic number.

26990080 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 26990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34888392).

26990080 is an abundant number, since it is smaller than the sum of its proper divisors (42786704).

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

26990080 is an equidigital number, since it uses as much as digits as its factorization.

26990080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 26990080 is about 5195.1977825681. The cubic root of 26990080 is about 299.9632547587.

The spelling of 26990080 in words is "twenty-six million, nine hundred ninety thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 811 832 1040 1280 1622 1664 2080 2560 3244 3328 4055 4160 6488 6656 8110 8320 10543 12976 16220 16640 21086 25952 32440 33280 42172 51904 52715 64880 84344 103808 105430 129760 168688 207616 210860 259520 337376 415232 421720 519040 674752 843440 1038080 1349504 1686880 2076160 2699008 3373760 5398016 6747520 13495040 26990080