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660248820 = 223457116779
BaseRepresentation
bin100111010110101…
…001100011110100
31201000101010010000
4213112221203310
52323010430240
6145303231300
722235010450
oct4726514364
91630333100
10660248820
11309769790
12165148530
13a6a31b9a
146398b660
153ce6e430
hex275a98f4

660248820 has 480 divisors, whose sum is σ = 2654023680. Its totient is φ = 133436160.

The previous prime is 660248801. The next prime is 660248821. The reversal of 660248820 is 28842066.

660248820 is a `hidden beast` number, since 6 + 602 + 48 + 8 + 2 + 0 = 666.

It is a super-2 number, since 2×6602488202 = 871857008622784800, 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 not an unprimeable number, because it can be changed into a prime (660248821) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8357541 + ... + 8357619.

It is an arithmetic number, because the mean of its divisors is an integer number (5529216).

Almost surely, 2660248820 is an apocalyptic number.

660248820 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 660248820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327011840).

660248820 is an abundant number, since it is smaller than the sum of its proper divisors (1993774860).

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

660248820 is a wasteful number, since it uses less digits than its factorization.

660248820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 660248820 is about 25695.3073536784. The cubic root of 660248820 is about 870.7681681560.

The spelling of 660248820 in words is "six hundred sixty million, two hundred forty-eight thousand, eight hundred twenty".