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13122450 = 23252112241
BaseRepresentation
bin110010000011…
…101110010010
3220200200121200
4302003232102
511324404300
61145132030
7216352605
oct62035622
926620550
1013122450
117453100
12448a016
132945b83
141a5833c
151243200
hexc83b92

13122450 has 108 divisors (see below), whose sum is σ = 38912874. Its totient is φ = 3168000.

The previous prime is 13122449. The next prime is 13122463. The reversal of 13122450 is 5422131.

It can be written as a sum of positive squares in 3 ways, for example, as 11108889 + 2013561 = 3333^2 + 1419^2 .

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

It is a Curzon 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 53 ways as a sum of consecutive naturals, for example, 54330 + ... + 54570.

Almost surely, 213122450 is an apocalyptic number.

13122450 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 13122450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19456437).

13122450 is an abundant number, since it is smaller than the sum of its proper divisors (25790424).

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

13122450 is a wasteful number, since it uses less digits than its factorization.

13122450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 13122450 is about 3622.4922360165. The cubic root of 13122450 is about 235.8694216840.

Adding to 13122450 its reverse (5422131), we get a palindrome (18544581).

It can be divided in two parts, 13122 and 450, that multiplied together give a square (5904900 = 24302).

The spelling of 13122450 in words is "thirteen million, one hundred twenty-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 121 150 165 198 225 241 242 275 330 363 450 482 495 550 605 723 726 825 990 1089 1205 1210 1446 1650 1815 2169 2178 2410 2475 2651 3025 3615 3630 4338 4950 5302 5445 6025 6050 7230 7953 9075 10845 10890 12050 13255 15906 18075 18150 21690 23859 26510 27225 29161 36150 39765 47718 54225 54450 58322 66275 79530 87483 108450 119295 132550 145805 174966 198825 238590 262449 291610 397650 437415 524898 596475 729025 874830 1192950 1312245 1458050 2187075 2624490 4374150 6561225 13122450