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132263300 = 225213101741
BaseRepresentation
bin1111110001000…
…10110110000100
3100012212200010202
413320202312010
5232324411200
621042510032
73164135201
oct770426604
9305780122
10132263300
1168728414
1238365318
132152ba10
14137ccca8
15b9291d5
hex7e22d84

132263300 has 36 divisors (see below), whose sum is σ = 309092196. Its totient is φ = 48835200.

The previous prime is 132263291. The next prime is 132263321. The reversal of 132263300 is 3362231.

It can be written as a sum of positive squares in 6 ways, for example, as 56190016 + 76073284 = 7496^2 + 8722^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 49571 + ... + 52170.

Almost surely, 2132263300 is an apocalyptic number.

132263300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132263300 is an abundant number, since it is smaller than the sum of its proper divisors (176828896).

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

132263300 is a wasteful number, since it uses less digits than its factorization.

132263300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101768 (or 101761 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 132263300 is about 11500.5782463318. The cubic root of 132263300 is about 509.5026549716.

The spelling of 132263300 in words is "one hundred thirty-two million, two hundred sixty-three thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 101741 203482 406964 508705 1017410 1322633 2034820 2543525 2645266 5087050 5290532 6613165 10174100 13226330 26452660 33065825 66131650 132263300