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679170672 = 243217421659
BaseRepresentation
bin101000011110110…
…101001001110000
31202022222110000100
4220132311021300
52342331430142
6151220552400
722554566265
oct5036651160
91668873010
10679170672
11319412a84
1216b552700
13aa92864b
14662b526c
153e95ab4c
hex287b5270

679170672 has 120 divisors (see below), whose sum is σ = 2020384080. Its totient is φ = 212244480.

The previous prime is 679170671. The next prime is 679170677. The reversal of 679170672 is 276071976.

It is a super-2 number, since 2×6791706722 = 922545603409863168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (679170671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1030279 + ... + 1030937.

It is an arithmetic number, because the mean of its divisors is an integer number (16836534).

Almost surely, 2679170672 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 679170672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010192040).

679170672 is an abundant number, since it is smaller than the sum of its proper divisors (1341213408).

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

679170672 is a wasteful number, since it uses less digits than its factorization.

679170672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 679170672 is about 26060.9031309354. The cubic root of 679170672 is about 879.0082974363.

The spelling of 679170672 in words is "six hundred seventy-nine million, one hundred seventy thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 421 612 659 816 842 1224 1263 1318 1684 1977 2448 2526 2636 3368 3789 3954 5052 5272 5931 6736 7157 7578 7908 10104 10544 11203 11862 14314 15156 15816 20208 21471 22406 23724 28628 30312 31632 33609 42942 44812 47448 57256 60624 64413 67218 85884 89624 94896 100827 114512 128826 134436 171768 179248 201654 257652 268872 277439 343536 403308 515304 537744 554878 806616 832317 1030608 1109756 1613232 1664634 2219512 2496951 3329268 4439024 4716463 4993902 6658536 9432926 9987804 13317072 14149389 18865852 19975608 28298778 37731704 39951216 42448167 56597556 75463408 84896334 113195112 169792668 226390224 339585336 679170672