Search a number
-
+
132150354 = 2373157409
BaseRepresentation
bin1111110000001…
…11010001010010
3100012122221012120
413320013101102
5232312302404
621040235110
73163155000
oct770072122
9305587176
10132150354
1168660576
123830ba96
13214bc49b
141379da70
15b9059d9
hex7e07452

132150354 has 64 divisors (see below), whose sum is σ = 310944000. Its totient is φ = 37425024.

The previous prime is 132150353. The next prime is 132150373. The reversal of 132150354 is 453051231.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (132150353) 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 31 ways as a sum of consecutive naturals, for example, 322902 + ... + 323310.

It is an arithmetic number, because the mean of its divisors is an integer number (4858500).

Almost surely, 2132150354 is an apocalyptic number.

132150354 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132150354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155472000).

132150354 is an abundant number, since it is smaller than the sum of its proper divisors (178793646).

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

132150354 is a wasteful number, since it uses less digits than its factorization.

132150354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 132150354 is about 11495.6667488232. Note that the first 3 decimals coincide. The cubic root of 132150354 is about 509.3575840533.

The spelling of 132150354 in words is "one hundred thirty-two million, one hundred fifty thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 157 294 314 343 409 471 686 818 942 1029 1099 1227 2058 2198 2454 2863 3297 5726 6594 7693 8589 15386 17178 20041 23079 40082 46158 53851 60123 64213 107702 120246 128426 140287 161553 192639 280574 323106 385278 420861 449491 841722 898982 1348473 2696946 3146437 6292874 9439311 18878622 22025059 44050118 66075177 132150354