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132809850 = 232522910177
BaseRepresentation
bin1111110101010…
…00010001111010
3100020220102212100
413322220101322
5232444403400
621102324230
73201602505
oct772502172
9306812770
10132809850
1168a71008
1238589676
1321690714
14138d213c
15b9d6100
hex7ea847a

132809850 has 72 divisors (see below), whose sum is σ = 369156060. Its totient is φ = 34191360.

The previous prime is 132809839. The next prime is 132809857. The reversal of 132809850 is 58908231.

It can be written as a sum of positive squares in 6 ways, for example, as 59861169 + 72948681 = 7737^2 + 8541^2 .

It is not an unprimeable number, because it can be changed into a prime (132809857) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7962 + ... + 18138.

Almost surely, 2132809850 is an apocalyptic number.

132809850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132809850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184578030).

132809850 is an abundant number, since it is smaller than the sum of its proper divisors (236346210).

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

132809850 is a wasteful number, since it uses less digits than its factorization.

132809850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10224 (or 10216 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 132809850 is about 11524.3155978999. The cubic root of 132809850 is about 510.2034943411.

The spelling of 132809850 in words is "one hundred thirty-two million, eight hundred nine thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 29 30 45 50 58 75 87 90 145 150 174 225 261 290 435 450 522 725 870 1305 1450 2175 2610 4350 6525 10177 13050 20354 30531 50885 61062 91593 101770 152655 183186 254425 295133 305310 457965 508850 590266 763275 885399 915930 1475665 1526550 1770798 2289825 2656197 2951330 4426995 4579650 5312394 7378325 8853990 13280985 14756650 22134975 26561970 44269950 66404925 132809850