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660060048 = 243101173787
BaseRepresentation
bin100111010101111…
…011011110010000
31201000000112011110
4213111323132100
52322433410143
6145255213320
722233263214
oct4725733620
91630015143
10660060048
1130964a97a
12165077240
13a6996c9b
146393c944
153ce33533
hex2757b790

660060048 has 80 divisors (see below), whose sum is σ = 1734192576. Its totient is φ = 216307200.

The previous prime is 660060041. The next prime is 660060053. The reversal of 660060048 is 840060066.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 660059997 and 660060024.

It is not an unprimeable number, because it can be changed into a prime (660060041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 838311 + ... + 839097.

Almost surely, 2660060048 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 660060048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867096288).

660060048 is an abundant number, since it is smaller than the sum of its proper divisors (1074132528).

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

660060048 is a wasteful number, since it uses less digits than its factorization.

660060048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 660060048 is about 25691.6338133642. The cubic root of 660060048 is about 870.6851730226.

The spelling of 660060048 in words is "six hundred sixty million, sixty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 173 202 303 346 404 519 606 692 787 808 1038 1212 1384 1574 1616 2076 2361 2424 2768 3148 4152 4722 4848 6296 8304 9444 12592 17473 18888 34946 37776 52419 69892 79487 104838 136151 139784 158974 209676 238461 272302 279568 317948 408453 419352 476922 544604 635896 816906 838704 953844 1089208 1271792 1633812 1907688 2178416 3267624 3815376 6535248 13751251 27502502 41253753 55005004 82507506 110010008 165015012 220020016 330030024 660060048