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668011520 = 21051129409
BaseRepresentation
bin100111110100010…
…000110000000000
31201112222111112102
4213310100300000
52332002332040
6150141445532
722361001311
oct4764206000
91645874472
10668011520
11313090a40
121678708a8
13a851c2b7
1464a0c608
153d9a4515
hex27d10c00

668011520 has 176 divisors, whose sum is σ = 1812823200. Its totient is φ = 233963520.

The previous prime is 668011501. The next prime is 668011541. The reversal of 668011520 is 25110866.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1633076 + ... + 1633484.

Almost surely, 2668011520 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 668011520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906411600).

668011520 is an abundant number, since it is smaller than the sum of its proper divisors (1144811680).

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

668011520 is a wasteful number, since it uses less digits than its factorization.

668011520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 668011520 is about 25845.9188267703. The cubic root of 668011520 is about 874.1674889823.

The spelling of 668011520 in words is "six hundred sixty-eight million, eleven thousand, five hundred twenty".