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132250000 = 2456232
BaseRepresentation
bin1111110000111…
…11100110010000
3100012211222220011
413320133212100
5232324000000
621042324304
73164051341
oct770374620
9305758804
10132250000
1168719423
1238359694
132152594c
14137c80c8
15b9252ba
hex7e1f990

132250000 has 105 divisors (see below), whose sum is σ = 334819933. Its totient is φ = 50600000.

The previous prime is 132249989. The next prime is 132250007. The reversal of 132250000 is 52231.

The square root of 132250000 is 11500.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 115863696 + 16386304 = 10764^2 + 4048^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132250007) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 5749989 + ... + 5750011.

Almost surely, 2132250000 is an apocalyptic number.

132250000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132250000 is the 11500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132250000

132250000 is an abundant number, since it is smaller than the sum of its proper divisors (202569933).

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

132250000 is an frugal number, since it uses more digits than its factorization.

132250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The cubic root of 132250000 is about 509.4855763805.

The spelling of 132250000 in words is "one hundred thirty-two million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 529 575 625 920 1000 1058 1150 1250 1840 2000 2116 2300 2500 2645 2875 3125 4232 4600 5000 5290 5750 6250 8464 9200 10000 10580 11500 12500 13225 14375 15625 21160 23000 25000 26450 28750 31250 42320 46000 50000 52900 57500 62500 66125 71875 105800 115000 125000 132250 143750 211600 230000 250000 264500 287500 330625 359375 529000 575000 661250 718750 1058000 1150000 1322500 1437500 1653125 2645000 2875000 3306250 5290000 5750000 6612500 8265625 13225000 16531250 26450000 33062500 66125000 132250000