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665290080 = 253257135077
BaseRepresentation
bin100111101001111…
…000010101100000
31201100212020102100
4213221320111200
52330303240310
6150003250400
722325605140
oct4751702540
91640766370
10665290080
113115a2314
12166979a00
13a7aa8690
1464500920
153d617ec0
hex27a78560

665290080 has 288 divisors, whose sum is σ = 2794768704. Its totient is φ = 140341248.

The previous prime is 665290061. The next prime is 665290103. The reversal of 665290080 is 80092566.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×6652900802 = 885221781092812800, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 128502 + ... + 133578.

It is an arithmetic number, because the mean of its divisors is an integer number (9704058).

Almost surely, 2665290080 is an apocalyptic number.

665290080 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 665290080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397384352).

665290080 is an abundant number, since it is smaller than the sum of its proper divisors (2129478624).

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

665290080 is a wasteful number, since it uses less digits than its factorization.

665290080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5118 (or 5107 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 665290080 is about 25793.2177131896. The cubic root of 665290080 is about 872.9787707941.

The spelling of 665290080 in words is "six hundred sixty-five million, two hundred ninety thousand, eighty".