Search a number
-
+
26640036 = 22333173109
BaseRepresentation
bin110010110011…
…1111010100100
31212010110021000
41211213322210
523304440121
62350553300
7442302513
oct145477244
955113230
1026640036
1114046065
128b08830
135699847
14377667a
152513526
hex1967ea4

26640036 has 96 divisors (see below), whose sum is σ = 72934400. Its totient is φ = 8398080.

The previous prime is 26640017. The next prime is 26640041. The reversal of 26640036 is 63004662.

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

It is a junction number, because it is equal to n+sod(n) for n = 26639991 and 26640009.

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, 244350 + ... + 244458.

Almost surely, 226640036 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 26640036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36467200).

26640036 is an abundant number, since it is smaller than the sum of its proper divisors (46294364).

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

26640036 is a wasteful number, since it uses less digits than its factorization.

26640036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 26640036 is about 5161.3986476536. The cubic root of 26640036 is about 298.6608309827.

Adding to 26640036 its reverse (63004662), we get a palindrome (89644698).

The spelling of 26640036 in words is "twenty-six million, six hundred forty thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 73 93 108 109 124 146 186 218 219 279 292 327 372 436 438 558 654 657 837 876 981 1116 1308 1314 1674 1962 1971 2263 2628 2943 3348 3379 3924 3942 4526 5886 6758 6789 7884 7957 9052 10137 11772 13516 13578 15914 20274 20367 23871 27156 30411 31828 40548 40734 47742 60822 61101 71613 81468 91233 95484 121644 122202 143226 182466 214839 244404 246667 286452 364932 429678 493334 740001 859356 986668 1480002 2220003 2960004 4440006 6660009 8880012 13320018 26640036