Search a number
-
+
53329920 = 21435731
BaseRepresentation
bin1100101101110…
…0000000000000
310201100102220020
43023130000000
5102123024140
65143013440
71215203550
oct313340000
9121312806
1053329920
1128115616
1215a3a280
13b082c87
147123160
154a366d0
hex32dc000

53329920 has 240 divisors, whose sum is σ = 201320448. Its totient is φ = 11796480.

The previous prime is 53329897. The next prime is 53329937. The reversal of 53329920 is 2992335.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1720305 + ... + 1720335.

Almost surely, 253329920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100660224).

53329920 is an abundant number, since it is smaller than the sum of its proper divisors (147990528).

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

53329920 is an equidigital number, since it uses as much as digits as its factorization.

53329920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 33.

The square root of 53329920 is about 7302.7337347051. The cubic root of 53329920 is about 376.4063812070.

The spelling of 53329920 in words is "fifty-three million, three hundred twenty-nine thousand, nine hundred twenty".