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132018120 = 23335139403
BaseRepresentation
bin1111101111001…
…10111111001000
3100012102012211000
413313212333020
5232244034440
621033335000
73162064323
oct767467710
9305365730
10132018120
1168580193
1238267460
1321474240
14137677ba
15b8cb730
hex7de6fc8

132018120 has 128 divisors (see below), whose sum is σ = 473961600. Its totient is φ = 32493312.

The previous prime is 132018083. The next prime is 132018167. The reversal of 132018120 is 21810231.

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

It is a junction number, because it is equal to n+sod(n) for n = 132018093 and 132018102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9339 + ... + 18741.

It is an arithmetic number, because the mean of its divisors is an integer number (3702825).

Almost surely, 2132018120 is an apocalyptic number.

132018120 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 132018120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236980800).

132018120 is an abundant number, since it is smaller than the sum of its proper divisors (341943480).

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

132018120 is a wasteful number, since it uses less digits than its factorization.

132018120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9436 (or 9426 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 132018120 is about 11489.9138377970. The cubic root of 132018120 is about 509.1876340257.

Adding to 132018120 its reverse (21810231), we get a palindrome (153828351).

It can be divided in two parts, 1320181 and 20, that added together give a square (1320201 = 11492).

The spelling of 132018120 in words is "one hundred thirty-two million, eighteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 7020 9403 14040 18806 28209 37612 47015 56418 75224 84627 94030 112836 122239 141045 169254 188060 225672 244478 253881 282090 338508 366717 376120 423135 488956 507762 564180 611195 677016 733434 846270 977912 1015524 1100151 1128360 1222390 1269405 1466868 1692540 1833585 2031048 2200302 2444780 2538810 2933736 3300453 3385080 3667170 4400604 4889560 5077620 5500755 6600906 7334340 8801208 10155240 11001510 13201812 14668680 16502265 22003020 26403624 33004530 44006040 66009060 132018120