[go: up one dir, main page]

Search a number
-
+
26536620 = 223511311297
BaseRepresentation
bin110010100111…
…0101010101100
31211221012101210
41211032222230
523243132440
62344434420
7441362145
oct145165254
954835353
1026536620
1113a853a0
128a78a10
135661756
14374aacc
1524e2a80
hex194eaac

26536620 has 96 divisors (see below), whose sum is σ = 83736576. Its totient is φ = 6220800.

The previous prime is 26536613. The next prime is 26536621. The reversal of 26536620 is 2663562.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26536621) 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, 19812 + ... + 21108.

It is an arithmetic number, because the mean of its divisors is an integer number (872256).

Almost surely, 226536620 is an apocalyptic number.

26536620 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 26536620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41868288).

26536620 is an abundant number, since it is smaller than the sum of its proper divisors (57199956).

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

26536620 is a wasteful number, since it uses less digits than its factorization.

26536620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 26536620 is about 5151.3706913791. The cubic root of 26536620 is about 298.2738650197.

The spelling of 26536620 in words is "twenty-six million, five hundred thirty-six thousand, six 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 1297 1364 1705 1860 2046 2594 3410 3891 4092 5115 5188 6485 6820 7782 10230 12970 14267 15564 19455 20460 25940 28534 38910 40207 42801 57068 71335 77820 80414 85602 120621 142670 160828 171204 201035 214005 241242 285340 402070 428010 442277 482484 603105 804140 856020 884554 1206210 1326831 1769108 2211385 2412420 2653662 4422770 5307324 6634155 8845540 13268310 26536620