Search a number
33145260 = 22352943443
BaseRepresentation
bin111111001110…
…0000110101100
32022100221202020
41332130012230
531441122020
63142230140
7551505261
oct176340654
968327666
1033145260
1117789585
12b125350
136b367a5
14458b268
152d9ac40
hex1f9c1ac

33145260 has 96 divisors (see below), whose sum is σ = 98461440. Its totient is φ = 8316672.

The previous prime is 33145249. The next prime is 33145267. The reversal of 33145260 is 6254133.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 33145260.

It is not an unprimeable number, because it can be changed into a prime (33145267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74599 + ... + 75041.

It is an arithmetic number, because the mean of its divisors is an integer number (1025640).

Almost surely, 233145260 is an apocalyptic number.

33145260 is a gapful number since it is divisible by the number (30) 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 33145260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49230720).

33145260 is an abundant number, since it is smaller than the sum of its proper divisors (65316180).

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

33145260 is a wasteful number, since it uses less digits than its factorization.

33145260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 33145260 is about 5757.1920238950. The cubic root of 33145260 is about 321.2233769011.

Adding to 33145260 its reverse (6254133), we get a palindrome (39399393).

The spelling of 33145260 in words is "thirty-three million, one hundred forty-five thousand, two hundred sixty".