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676276160 = 2657319739
BaseRepresentation
bin101000010011110…
…010011111000000
31202010112101111012
4220103302133000
52341111314120
6151034540052
722521152420
oct5023623700
91663471435
10676276160
1131781631a
1216a597628
13aa154011
1465b60480
153e5881c5
hex284f27c0

676276160 has 112 divisors (see below), whose sum is σ = 1900001280. Its totient is φ = 224363520.

The previous prime is 676276157. The next prime is 676276169. The reversal of 676276160 is 61672676.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (676276169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64571 + ... + 74309.

Almost surely, 2676276160 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 676276160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950000640).

676276160 is an abundant number, since it is smaller than the sum of its proper divisors (1223725120).

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

676276160 is a wasteful number, since it uses less digits than its factorization.

676276160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9794 (or 9784 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 41.

The square root of 676276160 is about 26005.3102269517. The cubic root of 676276160 is about 877.7577904022.

The spelling of 676276160 in words is "six hundred seventy-six million, two hundred seventy-six thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 64 70 80 112 124 140 155 160 217 224 248 280 310 320 434 448 496 560 620 868 992 1085 1120 1240 1736 1984 2170 2240 2480 3472 4340 4960 6944 8680 9739 9920 13888 17360 19478 34720 38956 48695 68173 69440 77912 97390 136346 155824 194780 272692 301909 311648 340865 389560 545384 603818 623296 681730 779120 1090768 1207636 1363460 1509545 1558240 2113363 2181536 2415272 2726920 3019090 3116480 4226726 4363072 4830544 5453840 6038180 8453452 9661088 10566815 10907680 12076360 16906904 19322176 21133630 21815360 24152720 33813808 42267260 48305440 67627616 84534520 96610880 135255232 169069040 338138080 676276160