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13145550 = 23521131257
BaseRepresentation
bin110010001001…
…010111001110
3220201212022020
4302021113032
511331124200
61145431010
7216510135
oct62112716
926655266
1013145550
1174694a0
12449b466
132953542
141a6291c
151249ea0
hexc895ce

13145550 has 96 divisors (see below), whose sum is σ = 36854784. Its totient is φ = 3072000.

The previous prime is 13145533. The next prime is 13145557. The reversal of 13145550 is 5554131.

13145550 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13145550.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13145557) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51022 + ... + 51278.

It is an arithmetic number, because the mean of its divisors is an integer number (383904).

Almost surely, 213145550 is an apocalyptic number.

13145550 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 13145550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18427392).

13145550 is an abundant number, since it is smaller than the sum of its proper divisors (23709234).

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

13145550 is a wasteful number, since it uses less digits than its factorization.

13145550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 13145550 is about 3625.6792467067. The cubic root of 13145550 is about 236.0077441680.

Adding to 13145550 its reverse (5554131), we get a palindrome (18699681).

It can be divided in two parts, 13145 and 550, that added together give a triangular number (13695 = T165).

The spelling of 13145550 in words is "thirteen million, one hundred forty-five thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 31 33 50 55 62 66 75 93 110 150 155 165 186 257 275 310 330 341 465 514 550 682 771 775 825 930 1023 1285 1542 1550 1650 1705 2046 2325 2570 2827 3410 3855 4650 5115 5654 6425 7710 7967 8481 8525 10230 12850 14135 15934 16962 17050 19275 23901 25575 28270 38550 39835 42405 47802 51150 70675 79670 84810 87637 119505 141350 175274 199175 212025 239010 262911 398350 424050 438185 525822 597525 876370 1195050 1314555 2190925 2629110 4381850 6572775 13145550