Search a number
-
+
26070 = 2351179
BaseRepresentation
bin110010111010110
31022202120
412113112
51313240
6320410
7136002
oct62726
938676
1026070
1118650
1213106
13bb35
149702
157ad0
hex65d6

26070 has 32 divisors (see below), whose sum is σ = 69120. Its totient is φ = 6240.

The previous prime is 26053. The next prime is 26083. The reversal of 26070 is 7062.

26070 = T10 + T11 + ... + T53.

26070 is nontrivially palindromic in base 8.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291 + ... + 369.

It is an arithmetic number, because the mean of its divisors is an integer number (2160).

226070 is an apocalyptic number.

26070 is the 132-nd pentagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34560).

26070 is an abundant number, since it is smaller than the sum of its proper divisors (43050).

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

26070 is a wasteful number, since it uses less digits than its factorization.

26070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100.

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 26070 is about 161.4620698492. The cubic root of 26070 is about 29.6515233632.

The spelling of 26070 in words is "twenty-six thousand, seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 79 110 158 165 237 330 395 474 790 869 1185 1738 2370 2607 4345 5214 8690 13035 26070