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689656080 = 243541109643
BaseRepresentation
bin101001000110110…
…101000100010000
31210001201011021210
4221012311010100
52403022443310
6152233420120
723042660061
oct5106650420
91701634253
10689656080
11324324903
12172b6a640
13acb5a129
1467844568
154082c820
hex291b5110

689656080 has 160 divisors (see below), whose sum is σ = 2213608320. Its totient is φ = 177500160.

The previous prime is 689656031. The next prime is 689656103. The reversal of 689656080 is 80656986.

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

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 31 ways as a sum of consecutive naturals, for example, 1072239 + ... + 1072881.

It is an arithmetic number, because the mean of its divisors is an integer number (13835052).

Almost surely, 2689656080 is an apocalyptic number.

689656080 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 689656080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106804160).

689656080 is an abundant number, since it is smaller than the sum of its proper divisors (1523952240).

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

689656080 is a wasteful number, since it uses less digits than its factorization.

689656080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The square root of 689656080 is about 26261.3038518654. The cubic root of 689656080 is about 883.5087529467.

The spelling of 689656080 in words is "six hundred eighty-nine million, six hundred fifty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 109 120 123 164 205 218 240 246 327 328 410 436 492 545 615 643 654 656 820 872 984 1090 1230 1286 1308 1635 1640 1744 1929 1968 2180 2460 2572 2616 3215 3270 3280 3858 4360 4469 4920 5144 5232 6430 6540 7716 8720 8938 9645 9840 10288 12860 13080 13407 15432 17876 19290 22345 25720 26160 26363 26814 30864 35752 38580 44690 51440 52726 53628 67035 70087 71504 77160 79089 89380 105452 107256 131815 134070 140174 154320 158178 178760 210261 210904 214512 263630 268140 280348 316356 350435 357520 395445 420522 421808 527260 536280 560696 632712 700870 790890 841044 1051305 1054520 1072560 1121392 1265424 1401740 1581780 1682088 2102610 2109040 2803480 2873567 3163560 3364176 4205220 5606960 5747134 6327120 8410440 8620701 11494268 14367835 16820880 17241402 22988536 28735670 34482804 43103505 45977072 57471340 68965608 86207010 114942680 137931216 172414020 229885360 344828040 689656080