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673066080 = 25325538819
BaseRepresentation
bin101000000111100…
…010110001100000
31201220111022002100
4220013202301200
52334301103310
6150442050400
722451652531
oct5007426140
91656438070
10673066080
11315a23565
121694a9a00
13a959bb6b
1465566688
153e151ec0
hex281e2c60

673066080 has 144 divisors (see below), whose sum is σ = 2340439920. Its totient is φ = 176077824.

The previous prime is 673066061. The next prime is 673066099. The reversal of 673066080 is 80660376.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (673066061) and next prime (673066099).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 71911 + ... + 80729.

It is an arithmetic number, because the mean of its divisors is an integer number (16253055).

Almost surely, 2673066080 is an apocalyptic number.

673066080 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 673066080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170219960).

673066080 is an abundant number, since it is smaller than the sum of its proper divisors (1667373840).

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

673066080 is a wasteful number, since it uses less digits than its factorization.

673066080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8893 (or 8882 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 673066080 is about 25943.5171092896. The cubic root of 673066080 is about 876.3667695421.

The spelling of 673066080 in words is "six hundred seventy-three million, sixty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 53 60 72 80 90 96 106 120 144 159 160 180 212 240 265 288 318 360 424 477 480 530 636 720 795 848 954 1060 1272 1440 1590 1696 1908 2120 2385 2544 3180 3816 4240 4770 5088 6360 7632 8480 8819 9540 12720 15264 17638 19080 25440 26457 35276 38160 44095 52914 70552 76320 79371 88190 105828 132285 141104 158742 176380 211656 264570 282208 317484 352760 396855 423312 467407 529140 634968 705520 793710 846624 934814 1058280 1269936 1402221 1411040 1587420 1869628 2116560 2337035 2539872 2804442 3174840 3739256 4206663 4233120 4674070 5608884 6349680 7011105 7478512 8413326 9348140 11217768 12699360 14022210 14957024 16826652 18696280 21033315 22435536 28044420 33653304 37392560 42066630 44871072 56088840 67306608 74785120 84133260 112177680 134613216 168266520 224355360 336533040 673066080