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680547240 = 233254343963
BaseRepresentation
bin101000100100000…
…101001110101000
31202102120101022100
4220210011032220
52343210002430
6151310253400
722602361512
oct5044051650
91672511270
10680547240
1131a17323a
1216bab7260
13aacbb099
1466552bb2
153eb2d960
hex289053a8

680547240 has 96 divisors (see below), whose sum is σ = 2263266720. Its totient is φ = 177254784.

The previous prime is 680547239. The next prime is 680547251. The reversal of 680547240 is 42745086.

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 = 680547195 and 680547204.

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, 6502 + ... + 37461.

It is an arithmetic number, because the mean of its divisors is an integer number (23575695).

Almost surely, 2680547240 is an apocalyptic number.

680547240 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 680547240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131633360).

680547240 is an abundant number, since it is smaller than the sum of its proper divisors (1582719480).

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

680547240 is a wasteful number, since it uses less digits than its factorization.

680547240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44023 (or 44016 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 680547240 is about 26087.3003586036. The cubic root of 680547240 is about 879.6017654027.

It can be divided in two parts, 6805 and 47240, that added together give a palindrome (54045).

The spelling of 680547240 in words is "six hundred eighty million, five hundred forty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 43 45 60 72 86 90 120 129 172 180 215 258 344 360 387 430 516 645 774 860 1032 1290 1548 1720 1935 2580 3096 3870 5160 7740 15480 43963 87926 131889 175852 219815 263778 351704 395667 439630 527556 659445 791334 879260 1055112 1318890 1582668 1758520 1890409 1978335 2637780 3165336 3780818 3956670 5275560 5671227 7561636 7913340 9452045 11342454 15123272 15826680 17013681 18904090 22684908 28356135 34027362 37808180 45369816 56712270 68054724 75616360 85068405 113424540 136109448 170136810 226849080 340273620 680547240