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675601740 = 2232511834111
BaseRepresentation
bin101000010001001…
…101110101001100
31202002021010100200
4220101031311030
52340423223430
6151012253500
722512343242
oct5021156514
91662233320
10675601740
113173a5650
1216a311290
13a9c79058
1465a26792
153e4a3460
hex2844dd4c

675601740 has 144 divisors (see below), whose sum is σ = 2263113216. Its totient is φ = 161769600.

The previous prime is 675601739. The next prime is 675601789. The reversal of 675601740 is 47106576.

675601740 is a `hidden beast` number, since 6 + 7 + 5 + 601 + 7 + 40 = 666.

It is a super-2 number, since 2×6756017402 = 912875422182055200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 675601695 and 675601704.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 162285 + ... + 166395.

It is an arithmetic number, because the mean of its divisors is an integer number (15716064).

Almost surely, 2675601740 is an apocalyptic number.

675601740 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 675601740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131556608).

675601740 is an abundant number, since it is smaller than the sum of its proper divisors (1587511476).

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

675601740 is a wasteful number, since it uses less digits than its factorization.

675601740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4220 (or 4215 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 675601740 is about 25992.3400254767. The cubic root of 675601740 is about 877.4659104784.

The spelling of 675601740 in words is "six hundred seventy-five million, six hundred one thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 83 90 99 110 132 165 166 180 198 220 249 330 332 396 415 495 498 660 747 830 913 990 996 1245 1494 1660 1826 1980 2490 2739 2988 3652 3735 4111 4565 4980 5478 7470 8217 8222 9130 10956 12333 13695 14940 16434 16444 18260 20555 24666 27390 32868 36999 41085 41110 45221 49332 54780 61665 73998 82170 82220 90442 123330 135663 147996 164340 180884 184995 226105 246660 271326 341213 369990 406989 452210 542652 678315 682426 739980 813978 904420 1023639 1356630 1364852 1627956 1706065 2034945 2047278 2713260 3070917 3412130 3753343 4069890 4094556 5118195 6141834 6824260 7506686 8139780 10236390 11260029 12283668 15013372 15354585 18766715 20472780 22520058 30709170 33780087 37533430 45040116 56300145 61418340 67560174 75066860 112600290 135120348 168900435 225200580 337800870 675601740