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685159680 = 28351131579
BaseRepresentation
bin101000110101101…
…011010100000000
31202202020201101110
4220311223110000
52400400102210
6151553203320
722656522042
oct5065532400
91682221343
10685159680
11321833677
12171560540
13abc4463a
1466dd3a92
1540240420
hex28d6b500

685159680 has 144 divisors (see below), whose sum is σ = 2208991680. Its totient is φ = 180977664.

The previous prime is 685159669. The next prime is 685159681. The reversal of 685159680 is 86951586.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (685159681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433131 + ... + 434709.

It is an arithmetic number, because the mean of its divisors is an integer number (15340220).

Almost surely, 2685159680 is an apocalyptic number.

685159680 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 685159680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104495840).

685159680 is an abundant number, since it is smaller than the sum of its proper divisors (1523832000).

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

685159680 is a wasteful number, since it uses less digits than its factorization.

685159680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1716 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The square root of 685159680 is about 26175.5550084425. Note that the first 3 decimals coincide. The cubic root of 685159680 is about 881.5844732076.

The spelling of 685159680 in words is "six hundred eighty-five million, one hundred fifty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 113 120 128 160 192 226 240 256 320 339 384 452 480 565 640 678 768 904 960 1130 1280 1356 1579 1695 1808 1920 2260 2712 3158 3390 3616 3840 4520 4737 5424 6316 6780 7232 7895 9040 9474 10848 12632 13560 14464 15790 18080 18948 21696 23685 25264 27120 28928 31580 36160 37896 43392 47370 50528 54240 63160 72320 75792 86784 94740 101056 108480 126320 144640 151584 178427 189480 202112 216960 252640 303168 356854 378960 404224 433920 505280 535281 606336 713708 757920 892135 1010560 1070562 1212672 1427416 1515840 1784270 2021120 2141124 2676405 2854832 3031680 3568540 4282248 5352810 5709664 6063360 7137080 8564496 10705620 11419328 14274160 17128992 21411240 22838656 28548320 34257984 42822480 45677312 57096640 68515968 85644960 114193280 137031936 171289920 228386560 342579840 685159680