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675141000 = 23353313719
BaseRepresentation
bin101000001111011…
…101010110001000
31202001101201100020
4220033131112020
52340314003000
6150554340440
722505414052
oct5017352610
91661351306
10675141000
11317110476
1216a12a720
13a9b47421
14659468d2
153e411ba0
hex283dd588

675141000 has 128 divisors (see below), whose sum is σ = 2116108800. Its totient is φ = 179212800.

The previous prime is 675140989. The next prime is 675141029. The reversal of 675141000 is 141576.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 938641 + ... + 939359.

It is an arithmetic number, because the mean of its divisors is an integer number (16532100).

Almost surely, 2675141000 is an apocalyptic number.

675141000 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 675141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058054400).

675141000 is an abundant number, since it is smaller than the sum of its proper divisors (1440967800).

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

675141000 is a wasteful number, since it uses less digits than its factorization.

675141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 675141000 is about 25983.4755181057. The cubic root of 675141000 is about 877.2663966931.

Adding to 675141000 its reverse (141576), we get a palindrome (675282576).

The spelling of 675141000 in words is "six hundred seventy-five million, one hundred forty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 313 375 500 600 626 719 750 939 1000 1252 1438 1500 1565 1878 2157 2504 2876 3000 3130 3595 3756 4314 4695 5752 6260 7190 7512 7825 8628 9390 10785 12520 14380 15650 17256 17975 18780 21570 23475 28760 31300 35950 37560 39125 43140 46950 53925 62600 71900 78250 86280 89875 93900 107850 117375 143800 156500 179750 187800 215700 225047 234750 269625 313000 359500 431400 450094 469500 539250 675141 719000 900188 939000 1078500 1125235 1350282 1800376 2157000 2250470 2700564 3375705 4500940 5401128 5626175 6751410 9001880 11252350 13502820 16878525 22504700 27005640 28130875 33757050 45009400 56261750 67514100 84392625 112523500 135028200 168785250 225047000 337570500 675141000