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13232120 = 23511172961
BaseRepresentation
bin110010011110…
…011111111000
3220220021001112
4302132133320
511341411440
61151335452
7220320416
oct62363770
926807045
1013232120
117518540
124521588
132983a75
141a862b6
151265965
hexc9e7f8

13232120 has 128 divisors (see below), whose sum is σ = 36158400. Its totient is φ = 4300800.

The previous prime is 13232119. The next prime is 13232129. The reversal of 13232120 is 2123231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13232095 and 13232104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13232129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216890 + ... + 216950.

Almost surely, 213232120 is an apocalyptic number.

13232120 is a gapful number since it is divisible by the number (10) 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 13232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18079200).

13232120 is an abundant number, since it is smaller than the sum of its proper divisors (22926280).

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

13232120 is a wasteful number, since it uses less digits than its factorization.

13232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 13232120 is about 3637.5981086426. The cubic root of 13232120 is about 236.5246872634.

Adding to 13232120 its reverse (2123231), we get a palindrome (15355351).

Subtracting from 13232120 its reverse (2123231), we obtain a square (11108889 = 33332).

It can be divided in two parts, 1323 and 2120, that added together give a palindrome (3443).

The spelling of 13232120 in words is "thirteen million, two hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 29 34 40 44 55 58 61 68 85 88 110 116 122 136 145 170 187 220 232 244 290 305 319 340 374 440 488 493 580 610 638 671 680 748 935 986 1037 1160 1220 1276 1342 1496 1595 1769 1870 1972 2074 2440 2465 2552 2684 3190 3355 3538 3740 3944 4148 4930 5185 5368 5423 6380 6710 7076 7480 8296 8845 9860 10370 10846 11407 12760 13420 14152 17690 19459 19720 20740 21692 22814 26840 27115 30073 35380 38918 41480 43384 45628 54230 57035 60146 70760 77836 91256 97295 108460 114070 120292 150365 155672 194590 216920 228140 240584 300730 330803 389180 456280 601460 661606 778360 1202920 1323212 1654015 2646424 3308030 6616060 13232120