Search a number
-
+
26010900 = 22325228901
BaseRepresentation
bin110001100111…
…0010100010100
31210221111020200
41203032110110
523124322100
62325300500
7434042346
oct143162424
953844220
1026010900
1113756413
128864730
135509386
143651296
15243be00
hex18ce514

26010900 has 54 divisors (see below), whose sum is σ = 81532542. Its totient is φ = 6936000.

The previous prime is 26010871. The next prime is 26010911. The reversal of 26010900 is 901062.

It can be written as a sum of positive squares in 3 ways, for example, as 9217296 + 16793604 = 3036^2 + 4098^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13551 + ... + 15350.

Almost surely, 226010900 is an apocalyptic number.

26010900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26010900 is an abundant number, since it is smaller than the sum of its proper divisors (55521642).

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

26010900 is a wasteful number, since it uses less digits than its factorization.

26010900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28921 (or 28911 counting only the distinct ones).

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

The square root of 26010900 is about 5100.0882345308. The cubic root of 26010900 is about 296.2910000404.

Adding to 26010900 its reverse (901062), we get a palindrome (26911962).

The spelling of 26010900 in words is "twenty-six million, ten thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 28901 57802 86703 115604 144505 173406 260109 289010 346812 433515 520218 578020 722525 867030 1040436 1300545 1445050 1734060 2167575 2601090 2890100 4335150 5202180 6502725 8670300 13005450 26010900