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26013150 = 235522141
BaseRepresentation
bin110001100111…
…0110111011110
31210221121100000
41203032313132
523124410100
62325315130
7434052042
oct143166736
953847300
1026013150
1113758079
128865aa6
13550a3c7
143652022
15243c900
hex18cedde

26013150 has 72 divisors (see below), whose sum is σ = 72510984. Its totient is φ = 6933600.

The previous prime is 26013133. The next prime is 26013157. The reversal of 26013150 is 5131062.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26013157) 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, 11080 + ... + 13220.

It is an arithmetic number, because the mean of its divisors is an integer number (1007097).

Almost surely, 226013150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26013150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36255492).

26013150 is an abundant number, since it is smaller than the sum of its proper divisors (46497834).

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

26013150 is a wasteful number, since it uses less digits than its factorization.

26013150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2168 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 26013150 is about 5100.3088141798. The cubic root of 26013150 is about 296.2995430682.

The spelling of 26013150 in words is "twenty-six million, thirteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 243 270 405 450 486 675 810 1215 1350 2025 2141 2430 4050 4282 6075 6423 10705 12150 12846 19269 21410 32115 38538 53525 57807 64230 96345 107050 115614 160575 173421 192690 289035 321150 346842 481725 520263 578070 867105 963450 1040526 1445175 1734210 2601315 2890350 4335525 5202630 8671050 13006575 26013150