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670021680 = 243517971693
BaseRepresentation
bin100111111011111…
…011100000110000
31201200202121221210
4213323323200300
52333011143210
6150252520120
722414042656
oct4773734060
91650677853
10670021680
11314234229
12168480040
13a8a74243
1464db2dd6
153dc4ee20
hex27efb830

670021680 has 160 divisors (see below), whose sum is σ = 2223232704. Its totient is φ = 166330368.

The previous prime is 670021619. The next prime is 670021687. The reversal of 670021680 is 86120076.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (670021687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 394914 + ... + 396606.

Almost surely, 2670021680 is an apocalyptic number.

670021680 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 670021680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111616352).

670021680 is an abundant number, since it is smaller than the sum of its proper divisors (1553211024).

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

670021680 is a wasteful number, since it uses less digits than its factorization.

670021680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 670021680 is about 25884.7769934377. The cubic root of 670021680 is about 875.0434503593.

The spelling of 670021680 in words is "six hundred seventy million, twenty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 97 102 120 136 170 194 204 240 255 272 291 340 388 408 485 510 582 680 776 816 970 1020 1164 1360 1455 1552 1649 1693 1940 2040 2328 2910 3298 3386 3880 4080 4656 4947 5079 5820 6596 6772 7760 8245 8465 9894 10158 11640 13192 13544 16490 16930 19788 20316 23280 24735 25395 26384 27088 28781 32980 33860 39576 40632 49470 50790 57562 65960 67720 79152 81264 86343 98940 101580 115124 131920 135440 143905 164221 172686 197880 203160 230248 287810 328442 345372 395760 406320 431715 460496 492663 575620 656884 690744 821105 863430 985326 1151240 1313768 1381488 1642210 1726860 1970652 2302480 2463315 2627536 2791757 3284420 3453720 3941304 4926630 5583514 6568840 6907440 7882608 8375271 9853260 11167028 13137680 13958785 16750542 19706520 22334056 27917570 33501084 39413040 41876355 44668112 55835140 67002168 83752710 111670280 134004336 167505420 223340560 335010840 670021680