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685302240 = 25357229137
BaseRepresentation
bin101000110110001…
…110000111100000
31202202111221221110
4220312032013200
52400414132430
6152000223320
722660654500
oct5066160740
91682457843
10685302240
11321920797
1217160ab40
13abc944ac
146702da00
154026c7b0
hex28d8e1e0

685302240 has 144 divisors (see below), whose sum is σ = 2511229392. Its totient is φ = 156635136.

The previous prime is 685302239. The next prime is 685302251. The reversal of 685302240 is 42203586.

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

It is a junction number, because it is equal to n+sod(n) for n = 685302198 and 685302207.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 8952 + ... + 38088.

It is an arithmetic number, because the mean of its divisors is an integer number (17439093).

Almost surely, 2685302240 is an apocalyptic number.

685302240 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 685302240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255614696).

685302240 is an abundant number, since it is smaller than the sum of its proper divisors (1825927152).

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

685302240 is a wasteful number, since it uses less digits than its factorization.

685302240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29169 (or 29154 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 685302240 is about 26178.2780182349. The cubic root of 685302240 is about 881.6456122241.

The spelling of 685302240 in words is "six hundred eighty-five million, three hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 70 80 84 96 98 105 112 120 140 147 160 168 196 210 224 240 245 280 294 336 392 420 480 490 560 588 672 735 784 840 980 1120 1176 1470 1568 1680 1960 2352 2940 3360 3920 4704 5880 7840 11760 23520 29137 58274 87411 116548 145685 174822 203959 233096 291370 349644 407918 437055 466192 582740 611877 699288 815836 874110 932384 1019795 1165480 1223754 1398576 1427713 1631672 1748220 2039590 2330960 2447508 2797152 2855426 3059385 3263344 3496440 4079180 4283139 4661920 4895016 5710852 6118770 6526688 6992880 7138565 8158360 8566278 9790032 11421704 12237540 13985760 14277130 16316720 17132556 19580064 21415695 22843408 24475080 28554260 32633440 34265112 42831390 45686816 48950160 57108520 68530224 85662780 97900320 114217040 137060448 171325560 228434080 342651120 685302240