Search a number
-
+
26127420 = 223511311277
BaseRepresentation
bin110001110101…
…0110000111100
31211011102002020
41203222300330
523142034140
62332000140
7435036144
oct143526074
954142066
1026127420
1113825a10
128900050
13554a417
143681924
1524616d0
hex18eac3c

26127420 has 96 divisors (see below), whose sum is σ = 82446336. Its totient is φ = 6124800.

The previous prime is 26127397. The next prime is 26127427. The reversal of 26127420 is 2472162.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26127427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19822 + ... + 21098.

It is an arithmetic number, because the mean of its divisors is an integer number (858816).

Almost surely, 226127420 is an apocalyptic number.

26127420 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 26127420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41223168).

26127420 is an abundant number, since it is smaller than the sum of its proper divisors (56318916).

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

26127420 is a wasteful number, since it uses less digits than its factorization.

26127420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 26127420 is about 5111.4988017215. The cubic root of 26127420 is about 296.7327687292.

Adding to 26127420 its reverse (2472162), we get a palindrome (28599582).

The spelling of 26127420 in words is "twenty-six million, one hundred twenty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 124 132 155 165 186 220 310 330 341 372 465 620 660 682 930 1023 1277 1364 1705 1860 2046 2554 3410 3831 4092 5108 5115 6385 6820 7662 10230 12770 14047 15324 19155 20460 25540 28094 38310 39587 42141 56188 70235 76620 79174 84282 118761 140470 158348 168564 197935 210705 237522 280940 395870 421410 435457 475044 593805 791740 842820 870914 1187610 1306371 1741828 2177285 2375220 2612742 4354570 5225484 6531855 8709140 13063710 26127420