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132060240 = 24335134703
BaseRepresentation
bin1111101111100…
…01010001010000
3100012111100121000
413313301101100
5232301411430
621034302000
73162331164
oct767612120
9305440530
10132060240
11685a98a4
1238287900
132148a470
1413778ca4
15b8d8e60
hex7df1450

132060240 has 160 divisors (see below), whose sum is σ = 489968640. Its totient is φ = 32500224.

The previous prime is 132060239. The next prime is 132060251. The reversal of 132060240 is 42060231.

It is a happy number.

132060240 is a `hidden beast` number, since 1 + 3 + 20 + 602 + 40 = 666.

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

It is a congruent number.

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, 25729 + ... + 30431.

It is an arithmetic number, because the mean of its divisors is an integer number (3062304).

Almost surely, 2132060240 is an apocalyptic number.

132060240 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 132060240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244984320).

132060240 is an abundant number, since it is smaller than the sum of its proper divisors (357908400).

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

132060240 is a wasteful number, since it uses less digits than its factorization.

132060240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4738 (or 4726 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 132060240 is about 11491.7466035412. The cubic root of 132060240 is about 509.2417798825.

Subtracting from 132060240 its reverse (42060231), we obtain a palindrome (90000009).

The spelling of 132060240 in words is "one hundred thirty-two million, sixty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 390 432 468 520 540 585 624 702 720 780 936 1040 1080 1170 1404 1560 1755 1872 2160 2340 2808 3120 3510 4680 4703 5616 7020 9360 9406 14040 14109 18812 23515 28080 28218 37624 42327 47030 56436 61139 70545 75248 84654 94060 112872 122278 126981 141090 169308 183417 188120 211635 225744 244556 253962 282180 305695 338616 366834 376240 423270 489112 507924 550251 564360 611390 634905 677232 733668 846540 917085 978224 1015848 1100502 1128720 1222780 1269810 1467336 1650753 1693080 1834170 2031696 2201004 2445560 2539620 2751255 2934672 3301506 3386160 3668340 4402008 4891120 5079240 5502510 6603012 7336680 8253765 8804016 10158480 11005020 13206024 14673360 16507530 22010040 26412048 33015060 44020080 66030120 132060240