Search a number
-
+
26001900 = 223252167173
BaseRepresentation
bin110001100110…
…0000111101100
31210221000220100
41203030013230
523124030100
62325151100
7434004201
oct143140754
953830810
1026001900
111374a681
12885b490
135505252
14364bca8
152439400
hex18cc1ec

26001900 has 108 divisors (see below), whose sum is σ = 82463472. Its totient is φ = 6852480.

The previous prime is 26001889. The next prime is 26001907. The reversal of 26001900 is 910062.

It is a super-2 number, since 2×260019002 = 1352197607220000, which contains 22 as substring.

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 (26001907) 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, 150214 + ... + 150386.

Almost surely, 226001900 is an apocalyptic number.

26001900 is a gapful number since it is divisible by the number (20) 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 26001900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41231736).

26001900 is an abundant number, since it is smaller than the sum of its proper divisors (56461572).

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

26001900 is a wasteful number, since it uses less digits than its factorization.

26001900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 26001900 is about 5099.2058205175. The cubic root of 26001900 is about 296.2568230015.

Adding to 26001900 its reverse (910062), we get a palindrome (26911962).

The spelling of 26001900 in words is "twenty-six million, one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 167 173 180 225 300 334 346 450 501 519 668 692 835 865 900 1002 1038 1503 1557 1670 1730 2004 2076 2505 2595 3006 3114 3340 3460 4175 4325 5010 5190 6012 6228 7515 7785 8350 8650 10020 10380 12525 12975 15030 15570 16700 17300 25050 25950 28891 30060 31140 37575 38925 50100 51900 57782 75150 77850 86673 115564 144455 150300 155700 173346 260019 288910 346692 433365 520038 577820 722275 866730 1040076 1300095 1444550 1733460 2166825 2600190 2889100 4333650 5200380 6500475 8667300 13000950 26001900