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132200120 = 235133159139
BaseRepresentation
bin1111110000100…
…11011010111000
3100012202110110202
413320103122320
5232320400440
621041301332
73163453043
oct770233270
9305673422
10132200120
11686949a8
1238334848
1321509030
14137b3c5a
15b915615
hex7e136b8

132200120 has 128 divisors (see below), whose sum is σ = 338688000. Its totient is φ = 46103040.

The previous prime is 132200099. The next prime is 132200129. The reversal of 132200120 is 21002231.

It is a happy number.

It is a super-3 number, since 3×1322001203 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132200129) 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, 951011 + ... + 951149.

It is an arithmetic number, because the mean of its divisors is an integer number (2646000).

Almost surely, 2132200120 is an apocalyptic number.

132200120 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 132200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344000).

132200120 is an abundant number, since it is smaller than the sum of its proper divisors (206487880).

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

132200120 is a wasteful number, since it uses less digits than its factorization.

132200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 132200120 is about 11497.8310998205. The cubic root of 132200120 is about 509.4215150416.

Adding to 132200120 its reverse (21002231), we get a palindrome (153202351).

The spelling of 132200120 in words is "one hundred thirty-two million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 59 62 65 104 118 124 130 139 155 236 248 260 278 295 310 403 472 520 556 590 620 695 767 806 1112 1180 1240 1390 1534 1612 1807 1829 2015 2360 2780 3068 3224 3614 3658 3835 4030 4309 5560 6136 7228 7316 7670 8060 8201 8618 9035 9145 14456 14632 15340 16120 16402 17236 18070 18290 21545 23777 30680 32804 34472 36140 36580 41005 43090 47554 56017 65608 72280 73160 82010 86180 95108 106613 112034 118885 164020 172360 190216 213226 224068 237770 254231 280085 328040 426452 448136 475540 508462 533065 560170 852904 951080 1016924 1066130 1120340 1271155 2033848 2132260 2240680 2542310 3305003 4264520 5084620 6610006 10169240 13220012 16525015 26440024 33050030 66100060 132200120