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670054528 = 27111336607
BaseRepresentation
bin100111111100000…
…011100010000000
31201200211022000101
4213330003202000
52333013221103
6150253332144
722414240513
oct4774034200
91650738011
10670054528
11314256980
12168497054
13a8a86190
1464dc0d7a
153dc59a1d
hex27f03880

670054528 has 64 divisors (see below), whose sum is σ = 1568286720. Its totient is φ = 281134080.

The previous prime is 670054519. The next prime is 670054529. The reversal of 670054528 is 825450076.

It is a happy number.

670054528 is a nontrivial binomial coefficient, being equal to C(36608, 2).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (670054529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 36607.

It is an arithmetic number, because the mean of its divisors is an integer number (24504480).

Almost surely, 2670054528 is an apocalyptic number.

670054528 is the 36607-th triangular number and also the 18304-th hexagonal number.

670054528 is the 12203-rd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 670054528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784143360).

670054528 is an abundant number, since it is smaller than the sum of its proper divisors (898232192).

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

670054528 is a wasteful number, since it uses less digits than its factorization.

670054528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36645 (or 36633 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The square root of 670054528 is about 25885.4114898721. The cubic root of 670054528 is about 875.0577498755.

The spelling of 670054528 in words is "six hundred seventy million, fifty-four thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 286 352 416 572 704 832 1144 1408 1664 2288 4576 9152 18304 36607 73214 146428 292856 402677 475891 585712 805354 951782 1171424 1610708 1903564 2342848 3221416 3807128 4685696 5234801 6442832 7614256 10469602 12885664 15228512 20939204 25771328 30457024 41878408 51542656 60914048 83756816 167513632 335027264 670054528