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689133760 = 26571718097
BaseRepresentation
bin101001000100110…
…101100011000000
31210000201121210121
4221010311203000
52402404240020
6152214310024
723035353220
oct5104654300
91700647717
10689133760
11323aa8437
12172958314
13aca06473
146774a080
1540777baa
hex291358c0

689133760 has 112 divisors (see below), whose sum is σ = 1985857344. Its totient is φ = 222363648.

The previous prime is 689133749. The next prime is 689133761. The reversal of 689133760 is 67331986.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (689133761) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 29032 + ... + 47128.

Almost surely, 2689133760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 689133760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992928672).

689133760 is an abundant number, since it is smaller than the sum of its proper divisors (1296723584).

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

689133760 is a wasteful number, since it uses less digits than its factorization.

689133760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18138 (or 18128 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The square root of 689133760 is about 26251.3572982427. The cubic root of 689133760 is about 883.2856510000.

The spelling of 689133760 in words is "six hundred eighty-nine million, one hundred thirty-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 136 140 160 170 224 238 272 280 320 340 448 476 544 560 595 680 952 1088 1120 1190 1360 1904 2240 2380 2720 3808 4760 5440 7616 9520 18097 19040 36194 38080 72388 90485 126679 144776 180970 253358 289552 307649 361940 506716 579104 615298 633395 723880 1013432 1158208 1230596 1266790 1447760 1538245 2026864 2153543 2461192 2533580 2895520 3076490 4053728 4307086 4922384 5067160 5791040 6152980 8107456 8614172 9844768 10134320 10767715 12305960 17228344 19689536 20268640 21535430 24611920 34456688 40537280 43070860 49223840 68913376 86141720 98447680 137826752 172283440 344566880 689133760