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132532500 = 2235441431
BaseRepresentation
bin1111110011001…
…00100100010100
3100020101100102010
413321210210110
5232412020000
621052344220
73166336062
oct771444424
9306340363
10132532500
11688a16a1
1238475070
13215c43c9
141385d032
15b97dd50
hex7e64914

132532500 has 120 divisors (see below), whose sum is σ = 396772992. Its totient is φ = 34400000.

The previous prime is 132532487. The next prime is 132532513. The reversal of 132532500 is 5235231.

It is an interprime number because it is at equal distance from previous prime (132532487) and next prime (132532513).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 307285 + ... + 307715.

Almost surely, 2132532500 is an apocalyptic number.

132532500 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 132532500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198386496).

132532500 is an abundant number, since it is smaller than the sum of its proper divisors (264240492).

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

132532500 is a wasteful number, since it uses less digits than its factorization.

132532500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 132532500 is about 11512.2760564538. The cubic root of 132532500 is about 509.8480900888.

Adding to 132532500 its reverse (5235231), we get a palindrome (137767731).

It can be divided in two parts, 13253 and 2500, that added together give a triangular number (15753 = T177).

The spelling of 132532500 in words is "one hundred thirty-two million, five hundred thirty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 125 150 164 205 246 250 300 375 410 431 492 500 615 625 750 820 862 1025 1230 1250 1293 1500 1724 1875 2050 2155 2460 2500 2586 3075 3750 4100 4310 5125 5172 6150 6465 7500 8620 10250 10775 12300 12930 15375 17671 20500 21550 25625 25860 30750 32325 35342 43100 51250 53013 53875 61500 64650 70684 76875 88355 102500 106026 107750 129300 153750 161625 176710 212052 215500 265065 269375 307500 323250 353420 441775 530130 538750 646500 808125 883550 1060260 1077500 1325325 1616250 1767100 2208875 2650650 3232500 4417750 5301300 6626625 8835500 11044375 13253250 22088750 26506500 33133125 44177500 66266250 132532500