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676110720 = 27353491009
BaseRepresentation
bin101000010011001…
…010000110000000
31202010012222112210
4220103022012000
52341041020340
6151031222120
722516563165
oct5023120600
91663188483
10676110720
11317712a9a
1216a517940
13aa0c691c
1465b1a06c
153e554180
hex284ca180

676110720 has 128 divisors (see below), whose sum is σ = 2163420000. Its totient is φ = 179601408.

The previous prime is 676110707. The next prime is 676110733. The reversal of 676110720 is 27011676.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (676110707) and next prime (676110733).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 669576 + ... + 670584.

Almost surely, 2676110720 is an apocalyptic number.

676110720 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 676110720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081710000).

676110720 is an abundant number, since it is smaller than the sum of its proper divisors (1487309280).

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

676110720 is a wasteful number, since it uses less digits than its factorization.

676110720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 676110720 is about 26002.1291435913. The cubic root of 676110720 is about 877.6862081598.

The spelling of 676110720 in words is "six hundred seventy-six million, one hundred ten thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 349 384 480 640 698 960 1009 1047 1396 1745 1920 2018 2094 2792 3027 3490 4036 4188 5045 5235 5584 6054 6980 8072 8376 10090 10470 11168 12108 13960 15135 16144 16752 20180 20940 22336 24216 27920 30270 32288 33504 40360 41880 44672 48432 55840 60540 64576 67008 80720 83760 96864 111680 121080 129152 134016 161440 167520 193728 223360 242160 322880 335040 352141 387456 484320 645760 670080 704282 968640 1056423 1408564 1760705 1937280 2112846 2817128 3521410 4225692 5282115 5634256 7042820 8451384 10564230 11268512 14085640 16902768 21128460 22537024 28171280 33805536 42256920 45074048 56342560 67611072 84513840 112685120 135222144 169027680 225370240 338055360 676110720