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26801104 = 2411295989
BaseRepresentation
bin110011000111…
…1001111010000
31212102122012111
41212033033100
523330113404
62354235104
7443543221
oct146171720
955378174
1026801104
1114146080
128b85a94
135724c55
1437b9248
152546104
hex198f3d0

26801104 has 80 divisors (see below), whose sum is σ = 60264000. Its totient is φ = 11432960.

The previous prime is 26801101. The next prime is 26801107. The reversal of 26801104 is 40110862.

It is an interprime number because it is at equal distance from previous prime (26801101) and next prime (26801107).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26801101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301092 + ... + 301180.

It is an arithmetic number, because the mean of its divisors is an integer number (753300).

Almost surely, 226801104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26801104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30132000).

26801104 is an abundant number, since it is smaller than the sum of its proper divisors (33462896).

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

26801104 is a wasteful number, since it uses less digits than its factorization.

26801104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 26801104 is about 5176.9782692223. The cubic root of 26801104 is about 299.2615318557.

Adding to 26801104 its reverse (40110862), we get a palindrome (66911966).

The spelling of 26801104 in words is "twenty-six million, eight hundred one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 29 44 58 59 88 89 116 118 176 178 232 236 319 356 464 472 638 649 712 944 979 1276 1298 1424 1711 1958 2552 2581 2596 3422 3916 5104 5162 5192 5251 6844 7832 10324 10384 10502 13688 15664 18821 20648 21004 27376 28391 37642 41296 42008 56782 57761 75284 84016 113564 115522 150568 152279 227128 231044 301136 304558 454256 462088 609116 924176 1218232 1675069 2436464 3350138 6700276 13400552 26801104