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676548720 = 243352931069
BaseRepresentation
bin101000010100110…
…101000001110000
31202011001020101000
4220110311001300
52341144024340
6151044442000
722523366151
oct5024650160
91664036330
10676548720
11317992081
1216a6a9300
13aa21b0b3
1465bd1928
153e5ddd30
hex28535070

676548720 has 160 divisors (see below), whose sum is σ = 2340475200. Its totient is φ = 179629056.

The previous prime is 676548709. The next prime is 676548787. The reversal of 676548720 is 27845676.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 632346 + ... + 633414.

It is an arithmetic number, because the mean of its divisors is an integer number (14627970).

Almost surely, 2676548720 is an apocalyptic number.

676548720 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 676548720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170237600).

676548720 is an abundant number, since it is smaller than the sum of its proper divisors (1663926480).

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

676548720 is a wasteful number, since it uses less digits than its factorization.

676548720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 676548720 is about 26010.5501671918. The cubic root of 676548720 is about 877.8756956526.

The spelling of 676548720 in words is "six hundred seventy-six million, five hundred forty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 293 360 432 540 586 720 879 1069 1080 1172 1465 1758 2138 2160 2344 2637 2930 3207 3516 4276 4395 4688 5274 5345 5860 6414 7032 7911 8552 8790 9621 10548 10690 11720 12828 13185 14064 15822 16035 17104 17580 19242 21096 21380 23440 25656 26370 28863 31644 32070 35160 38484 39555 42192 42760 48105 51312 52740 57726 63288 64140 70320 76968 79110 85520 96210 105480 115452 126576 128280 144315 153936 158220 192420 210960 230904 256560 288630 313217 316440 384840 461808 577260 626434 632880 769680 939651 1154520 1252868 1566085 1879302 2309040 2505736 2818953 3132170 3758604 4698255 5011472 5637906 6264340 7517208 8456859 9396510 11275812 12528680 14094765 15034416 16913718 18793020 22551624 25057360 28189530 33827436 37586040 42284295 45103248 56379060 67654872 75172080 84568590 112758120 135309744 169137180 225516240 338274360 676548720