Search a number
-
+
26678736 = 24327219199
BaseRepresentation
bin110010111000…
…1010111010000
31212012102100100
41211301113100
523312204421
62351452400
7442523400
oct145612720
955172310
1026678736
1114072147
128b27100
1356b1346
143786800
15251ec26
hex19715d0

26678736 has 180 divisors, whose sum is σ = 91884000. Its totient is φ = 7185024.

The previous prime is 26678683. The next prime is 26678737. The reversal of 26678736 is 63787662.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 26678691 and 26678700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26678737) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 133965 + ... + 134163.

Almost surely, 226678736 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 26678736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45942000).

26678736 is an abundant number, since it is smaller than the sum of its proper divisors (65205264).

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

26678736 is a wasteful number, since it uses less digits than its factorization.

26678736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 230 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 26678736 is about 5165.1462709201. The cubic root of 26678736 is about 298.8053826119.

The spelling of 26678736 in words is "twenty-six million, six hundred seventy-eight thousand, seven hundred thirty-six".