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670071072 = 253111973221
BaseRepresentation
bin100111111100000…
…111100100100000
31201200212010201010
4213330013210200
52333014233242
6150253540520
722414336656
oct4774074440
91650763633
10670071072
11314268350
121684a4740
13a8a90878
1464dc6dd6
153dc5e89c
hex27f07920

670071072 has 96 divisors (see below), whose sum is σ = 1929178944. Its totient is φ = 201958400.

The previous prime is 670071049. The next prime is 670071079. The reversal of 670071072 is 270170076.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (670071079) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206422 + ... + 209642.

It is an arithmetic number, because the mean of its divisors is an integer number (20095614).

Almost surely, 2670071072 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 670071072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964589472).

670071072 is an abundant number, since it is smaller than the sum of its proper divisors (1259107872).

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

670071072 is a wasteful number, since it uses less digits than its factorization.

670071072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3442 (or 3434 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 30.

The square root of 670071072 is about 25885.7310501365. The cubic root of 670071072 is about 875.0649516955.

The spelling of 670071072 in words is "six hundred seventy million, seventy-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 197 264 352 394 528 591 788 1056 1182 1576 2167 2364 3152 3221 4334 4728 6304 6442 6501 8668 9456 9663 12884 13002 17336 18912 19326 25768 26004 34672 35431 38652 51536 52008 69344 70862 77304 103072 104016 106293 141724 154608 208032 212586 283448 309216 425172 566896 634537 850344 1133792 1269074 1700688 1903611 2538148 3401376 3807222 5076296 6979907 7614444 10152592 13959814 15228888 20305184 20939721 27919628 30457776 41879442 55839256 60915552 83758884 111678512 167517768 223357024 335035536 670071072