Search a number
-
+
26734104 = 2333612029
BaseRepresentation
bin110010111111…
…0111000011000
31212022020022000
41211332320120
523320442404
62353001000
7443143665
oct145767030
955266260
1026734104
11140aa801
128b53160
1357005c7
14379ca6c
152531339
hex197ee18

26734104 has 64 divisors (see below), whose sum is σ = 75516000. Its totient is φ = 8760960.

The previous prime is 26734093. The next prime is 26734109. The reversal of 26734104 is 40143762.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26734109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12162 + ... + 14190.

Almost surely, 226734104 is an apocalyptic number.

26734104 is a gapful number since it is divisible by the number (24) 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 26734104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37758000).

26734104 is an abundant number, since it is smaller than the sum of its proper divisors (48781896).

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

26734104 is a wasteful number, since it uses less digits than its factorization.

26734104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2105 (or 2095 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 26734104 is about 5170.5032637065. The cubic root of 26734104 is about 299.0119494261.

Adding to 26734104 its reverse (40143762), we get a palindrome (66877866).

The spelling of 26734104 in words is "twenty-six million, seven hundred thirty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 108 122 183 216 244 366 488 549 732 1098 1464 1647 2029 2196 3294 4058 4392 6087 6588 8116 12174 13176 16232 18261 24348 36522 48696 54783 73044 109566 123769 146088 219132 247538 371307 438264 495076 742614 990152 1113921 1485228 2227842 2970456 3341763 4455684 6683526 8911368 13367052 26734104