Search a number
-
+
132290736 = 24317223727
BaseRepresentation
bin1111110001010…
…01100010110000
3100012221001202220
413320221202300
5232331300421
621043241040
73164311164
oct770514260
9305831686
10132290736
1168746a96
1238379180
132153b356
14137d8ca4
15b9323c6
hex7e298b0

132290736 has 80 divisors (see below), whose sum is σ = 363976704. Its totient is φ = 41260032.

The previous prime is 132290729. The next prime is 132290737. The reversal of 132290736 is 637092231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 132290697 and 132290706.

It is not an unprimeable number, because it can be changed into a prime (132290737) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 181605 + ... + 182331.

Almost surely, 2132290736 is an apocalyptic number.

132290736 is a gapful number since it is divisible by the number (16) 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 132290736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181988352).

132290736 is an abundant number, since it is smaller than the sum of its proper divisors (231685968).

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

132290736 is a wasteful number, since it uses less digits than its factorization.

132290736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 132290736 is about 11501.7709940687. The cubic root of 132290736 is about 509.5378820487.

The spelling of 132290736 in words is "one hundred thirty-two million, two hundred ninety thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 223 272 408 446 669 727 816 892 1338 1454 1784 2181 2676 2908 3568 3791 4362 5352 5816 7582 8724 10704 11373 11632 12359 15164 17448 22746 24718 30328 34896 37077 45492 49436 60656 74154 90984 98872 148308 162121 181968 197744 296616 324242 486363 593232 648484 972726 1296968 1945452 2593936 2756057 3890904 5512114 7781808 8268171 11024228 16536342 22048456 33072684 44096912 66145368 132290736