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132345540 = 223254179227
BaseRepresentation
bin1111110001101…
…10111011000100
3100020000211221200
413320312323010
5232340024130
621044342500
73164630025
oct770667304
9306024850
10132345540
1168784188
12383a4a30
132155a292
1413810c4c
15b943760
hex7e36ec4

132345540 has 144 divisors (see below), whose sum is σ = 418279680. Its totient is φ = 33845760.

The previous prime is 132345517. The next prime is 132345601. The reversal of 132345540 is 45543231.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 582907 + ... + 583133.

It is an arithmetic number, because the mean of its divisors is an integer number (2904720).

Almost surely, 2132345540 is an apocalyptic number.

132345540 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 132345540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209139840).

132345540 is an abundant number, since it is smaller than the sum of its proper divisors (285934140).

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

132345540 is a wasteful number, since it uses less digits than its factorization.

132345540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 132345540 is about 11504.1531630972. The cubic root of 132345540 is about 509.6082343140.

Adding to 132345540 its reverse (45543231), we get a palindrome (177888771).

The spelling of 132345540 in words is "one hundred thirty-two million, three hundred forty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 79 82 90 123 158 164 180 205 227 237 246 316 369 395 410 454 474 492 615 681 711 738 790 820 908 948 1135 1185 1230 1362 1422 1476 1580 1845 2043 2270 2370 2460 2724 2844 3239 3405 3555 3690 4086 4540 4740 6478 6810 7110 7380 8172 9307 9717 10215 12956 13620 14220 16195 17933 18614 19434 20430 27921 29151 32390 35866 37228 38868 40860 46535 48585 53799 55842 58302 64780 71732 83763 89665 93070 97170 107598 111684 116604 139605 145755 161397 167526 179330 186140 194340 215196 268995 279210 291510 322794 335052 358660 418815 537990 558420 583020 645588 735253 806985 837630 1075980 1470506 1613970 1675260 2205759 2941012 3227940 3676265 4411518 6617277 7352530 8823036 11028795 13234554 14705060 22057590 26469108 33086385 44115180 66172770 132345540