Search a number
-
+
132149720 = 235233792
BaseRepresentation
bin1111110000001…
…11000111011000
3100012122220100002
413320013013120
5232312242340
621040232132
73163153103
oct770070730
9305586302
10132149720
116866004a
123830b648
13214bc101
141379d73a
15b905715
hex7e071d8

132149720 has 48 divisors (see below), whose sum is σ = 311085360. Its totient is φ = 50428224.

The previous prime is 132149711. The next prime is 132149737. The reversal of 132149720 is 27941231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 348491 + ... + 348869.

It is an arithmetic number, because the mean of its divisors is an integer number (6480945).

Almost surely, 2132149720 is an apocalyptic number.

132149720 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 132149720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155542680).

132149720 is an abundant number, since it is smaller than the sum of its proper divisors (178935640).

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

132149720 is an equidigital number, since it uses as much as digits as its factorization.

132149720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 132149720 is about 11495.6391731822. The cubic root of 132149720 is about 509.3567694932.

The spelling of 132149720 in words is "one hundred thirty-two million, one hundred forty-nine thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 379 460 758 920 1516 1895 3032 3790 7580 8717 15160 17434 34868 43585 69736 87170 143641 174340 287282 348680 574564 718205 1149128 1436410 2872820 3303743 5745640 6607486 13214972 16518715 26429944 33037430 66074860 132149720