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680178688 = 2107313061
BaseRepresentation
bin101000100010101…
…011010000000000
31202101212122202021
4220202223100000
52343111204223
6151254331224
722566265150
oct5042532000
91671778667
10680178688
11319a41352
1216b959b14
13aabbc3c7
1466498760
153eaa965d
hex288ab400

680178688 has 88 divisors (see below), whose sum is σ = 1604585984. Its totient is φ = 282009600.

The previous prime is 680178683. The next prime is 680178757. The reversal of 680178688 is 886871086.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680178683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220678 + ... + 223738.

Almost surely, 2680178688 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 680178688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802292992).

680178688 is an abundant number, since it is smaller than the sum of its proper divisors (924407296).

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

680178688 is a wasteful number, since it uses less digits than its factorization.

680178688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3119 (or 3101 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 52.

The square root of 680178688 is about 26080.2355817581. The cubic root of 680178688 is about 879.4429532447.

The spelling of 680178688 in words is "six hundred eighty million, one hundred seventy-eight thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 512 868 896 992 1024 1736 1792 1984 3061 3472 3584 3968 6122 6944 7168 7936 12244 13888 15872 21427 24488 27776 31744 42854 48976 55552 85708 94891 97952 111104 171416 189782 195904 222208 342832 379564 391808 664237 685664 759128 783616 1328474 1371328 1518256 1567232 2656948 2742656 3036512 3134464 5313896 5485312 6073024 10627792 10970624 12146048 21255584 21941248 24292096 42511168 48584192 85022336 97168384 170044672 340089344 680178688