Search a number
-
+
13277550 = 23521113619
BaseRepresentation
bin110010101001…
…100101101110
3220222120101010
4302221211232
511344340200
61152330050
7220600026
oct62514556
926876333
1013277550
117549690
124543926
13299b650
141a98a86
151274150
hexca996e

13277550 has 96 divisors (see below), whose sum is σ = 38747520. Its totient is φ = 2966400.

The previous prime is 13277543. The next prime is 13277557. The reversal of 13277550 is 5577231.

It is an interprime number because it is at equal distance from previous prime (13277543) and next prime (13277557).

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13277557) 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 47 ways as a sum of consecutive naturals, for example, 21141 + ... + 21759.

It is an arithmetic number, because the mean of its divisors is an integer number (403620).

Almost surely, 213277550 is an apocalyptic number.

13277550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13277550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19373760).

13277550 is an abundant number, since it is smaller than the sum of its proper divisors (25469970).

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

13277550 is a wasteful number, since it uses less digits than its factorization.

13277550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 30.

The square root of 13277550 is about 3643.8372631060. The cubic root of 13277550 is about 236.7950657718.

The spelling of 13277550 in words is "thirteen million, two hundred seventy-seven thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 11 13 15 22 25 26 30 33 39 50 55 65 66 75 78 110 130 143 150 165 195 275 286 325 330 390 429 550 619 650 715 825 858 975 1238 1430 1650 1857 1950 2145 3095 3575 3714 4290 6190 6809 7150 8047 9285 10725 13618 15475 16094 18570 20427 21450 24141 30950 34045 40235 40854 46425 48282 68090 80470 88517 92850 102135 120705 170225 177034 201175 204270 241410 265551 340450 402350 442585 510675 531102 603525 885170 1021350 1207050 1327755 2212925 2655510 4425850 6638775 13277550