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685169280 = 2734513217
BaseRepresentation
bin101000110101101…
…101101010000000
31202202021012120000
4220311231222000
52400400404110
6151553320000
722656562035
oct5065555200
91682235500
10685169280
1132183a904
12171566000
13abc48b13
1466dd738c
15402431c0
hex28d6da80

685169280 has 160 divisors (see below), whose sum is σ = 2447048340. Its totient is φ = 182697984.

The previous prime is 685169237. The next prime is 685169321. The reversal of 685169280 is 82961586.

It can be written as a sum of positive squares in 2 ways, for example, as 675584064 + 9585216 = 25992^2 + 3096^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 19 ways as a sum of consecutive naturals, for example, 45232 + ... + 58448.

Almost surely, 2685169280 is an apocalyptic number.

685169280 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 685169280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223524170).

685169280 is an abundant number, since it is smaller than the sum of its proper divisors (1761879060).

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

685169280 is a wasteful number, since it uses less digits than its factorization.

685169280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13248 (or 13227 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 685169280 is about 26175.7383850007. The cubic root of 685169280 is about 881.5885905794.

The spelling of 685169280 in words is "six hundred eighty-five million, one hundred sixty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 270 288 320 324 360 384 405 432 480 540 576 640 648 720 810 864 960 1080 1152 1296 1440 1620 1728 1920 2160 2592 2880 3240 3456 4320 5184 5760 6480 8640 10368 12960 13217 17280 25920 26434 39651 51840 52868 66085 79302 105736 118953 132170 158604 198255 211472 237906 264340 317208 356859 396510 422944 475812 528680 594765 634416 713718 793020 845888 951624 1057360 1070577 1189530 1268832 1427436 1586040 1691776 1784295 1903248 2114720 2141154 2379060 2537664 2854872 3172080 3568590 3806496 4229440 4282308 4758120 5075328 5352885 5709744 6344160 7137180 7612992 8458880 8564616 9516240 10705770 11419488 12688320 14274360 15225984 17129232 19032480 21411540 22838976 25376640 28548720 34258464 38064960 42823080 45677952 57097440 68516928 76129920 85646160 114194880 137033856 171292320 228389760 342584640 685169280