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663540480 = 28325239241
BaseRepresentation
bin100111100011001…
…101001100000000
31201020120100102100
4213203031030000
52324331243410
6145501550400
722305000231
oct4743151400
91636510370
10663540480
11310607869
12166275400
13a7615205
14641a7088
153d3be8c0
hex278cd300

663540480 has 216 divisors, whose sum is σ = 2314952640. Its totient is φ = 175472640.

The previous prime is 663540473. The next prime is 663540487. The reversal of 663540480 is 84045366.

It is an interprime number because it is at equal distance from previous prime (663540473) and next prime (663540487).

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

It is not an unprimeable number, because it can be changed into a prime (663540487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2753160 + ... + 2753400.

Almost surely, 2663540480 is an apocalyptic number.

663540480 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 663540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157476320).

663540480 is an abundant number, since it is smaller than the sum of its proper divisors (1651412160).

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

663540480 is a wasteful number, since it uses less digits than its factorization.

663540480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 663540480 is about 25759.2794930293. The cubic root of 663540480 is about 872.2128369730.

The spelling of 663540480 in words is "six hundred sixty-three million, five hundred forty thousand, four hundred eighty".