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132352500 = 2235472521
BaseRepresentation
bin1111110001110…
…00100111110100
3100020001012111110
413320320213310
5232340240000
621044435020
73164656230
oct770704764
9306035443
10132352500
1168789435
12383a8a70
13215604b7
14138135c0
15b945850
hex7e389f4

132352500 has 120 divisors (see below), whose sum is σ = 441208768. Its totient is φ = 30240000.

The previous prime is 132352489. The next prime is 132352513. The reversal of 132352500 is 5253231.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 51240 + ... + 53760.

Almost surely, 2132352500 is an apocalyptic number.

132352500 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 132352500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220604384).

132352500 is an abundant number, since it is smaller than the sum of its proper divisors (308856268).

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

132352500 is a wasteful number, since it uses less digits than its factorization.

132352500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2555 (or 2538 counting only the distinct ones).

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

The square root of 132352500 is about 11504.4556585699. The cubic root of 132352500 is about 509.6171675230.

The spelling of 132352500 in words is "one hundred thirty-two million, three hundred fifty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 125 140 150 175 210 250 300 350 375 420 500 525 625 700 750 875 1050 1250 1500 1750 1875 2100 2500 2521 2625 3500 3750 4375 5042 5250 7500 7563 8750 10084 10500 12605 13125 15126 17500 17647 25210 26250 30252 35294 37815 50420 52500 52941 63025 70588 75630 88235 105882 126050 151260 176470 189075 211764 252100 264705 315125 352940 378150 441175 529410 630250 756300 882350 945375 1058820 1260500 1323525 1575625 1764700 1890750 2205875 2647050 3151250 3781500 4411750 4726875 5294100 6302500 6617625 8823500 9453750 11029375 13235250 18907500 22058750 26470500 33088125 44117500 66176250 132352500