Search a number
-
+
665022960 = 243857181
BaseRepresentation
bin100111101000110…
…111000111110000
31201100100200000000
4213220313013300
52330221213320
6145553430000
722323413310
oct4750670760
91640320000
10665022960
1131142a658
1216686b300
13a7a13c14
1464471440
153d5b3c90
hex27a371f0

665022960 has 360 divisors, whose sum is σ = 2665100256. Its totient is φ = 151165440.

The previous prime is 665022929. The next prime is 665023013. The reversal of 665022960 is 69220566.

665022960 is a `hidden beast` number, since 66 + 502 + 2 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3674070 + ... + 3674250.

Almost surely, 2665022960 is an apocalyptic number.

665022960 is a gapful number since it is divisible by the number (60) 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 665022960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332550128).

665022960 is an abundant number, since it is smaller than the sum of its proper divisors (2000077296).

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

665022960 is an equidigital number, since it uses as much as digits as its factorization.

665022960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 665022960 is about 25788.0390879183. The cubic root of 665022960 is about 872.8619188561.

The spelling of 665022960 in words is "six hundred sixty-five million, twenty-two thousand, nine hundred sixty".