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681255680 = 2857139547
BaseRepresentation
bin101000100110110…
…010001100000000
31202110220101002212
4220212302030000
52343400140210
6151333401252
722611402110
oct5046621400
91673811085
10681255680
1131a607526
12170199228
13ab1a8691
1466699040
153ec1d805
hex289b2300

681255680 has 144 divisors (see below), whose sum is σ = 1881788160. Its totient is φ = 231469056.

The previous prime is 681255661. The next prime is 681255683. The reversal of 681255680 is 86552186.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681255683) 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, 1245167 + ... + 1245713.

Almost surely, 2681255680 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 681255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940894080).

681255680 is an abundant number, since it is smaller than the sum of its proper divisors (1200532480).

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

681255680 is a wasteful number, since it uses less digits than its factorization.

681255680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 41.

The square root of 681255680 is about 26100.8750811156. The cubic root of 681255680 is about 879.9068771983.

The spelling of 681255680 in words is "six hundred eighty-one million, two hundred fifty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 139 140 160 224 256 278 280 320 448 547 556 560 640 695 896 973 1094 1112 1120 1280 1390 1792 1946 2188 2224 2240 2735 2780 3829 3892 4376 4448 4480 4865 5470 5560 7658 7784 8752 8896 8960 9730 10940 11120 15316 15568 17504 17792 19145 19460 21880 22240 30632 31136 35008 35584 38290 38920 43760 44480 61264 62272 70016 76033 76580 77840 87520 88960 122528 124544 140032 152066 153160 155680 175040 177920 245056 249088 304132 306320 311360 350080 380165 490112 532231 608264 612640 622720 700160 760330 980224 1064462 1216528 1225280 1245440 1520660 2128924 2433056 2450560 2661155 3041320 4257848 4866112 4901120 5322310 6082640 8515696 9732224 10644620 12165280 17031392 19464448 21289240 24330560 34062784 42578480 48661120 68125568 85156960 97322240 136251136 170313920 340627840 681255680