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670526640 = 24335761727
BaseRepresentation
bin100111111101110…
…110110010110000
31201201201021122000
4213331312302300
52333123323030
6150311414000
722421245110
oct4775666260
91651637560
10670526640
11314549653
12168684300
13a8bc0034
14650a5040
153dcee860
hex27f76cb0

670526640 has 320 divisors, whose sum is σ = 2686494720. Its totient is φ = 150543360.

The previous prime is 670526639. The next prime is 670526651. The reversal of 670526640 is 46625076.

670526640 is a `hidden beast` number, since 6 + 7 + 0 + 5 + 2 + 6 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 670526595 and 670526604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 921957 + ... + 922683.

It is an arithmetic number, because the mean of its divisors is an integer number (8395296).

Almost surely, 2670526640 is an apocalyptic number.

670526640 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 670526640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343247360).

670526640 is an abundant number, since it is smaller than the sum of its proper divisors (2015968080).

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

670526640 is a wasteful number, since it uses less digits than its factorization.

670526640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 670526640 is about 25894.5291519271. The cubic root of 670526640 is about 875.2632198572.

The spelling of 670526640 in words is "six hundred seventy million, five hundred twenty-six thousand, six hundred forty".