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685020672 = 293377079
BaseRepresentation
bin101000110101001…
…001011000000000
31202201222122201000
4220311021120000
52400331130142
6151550212000
722655402550
oct5065113000
91681878630
10685020672
11321749196
121714b4000
13abbc629b
1466d99160
154021414c
hex28d49600

685020672 has 160 divisors (see below), whose sum is σ = 2317708800. Its totient is φ = 195692544.

The previous prime is 685020631. The next prime is 685020727. The reversal of 685020672 is 276020586.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93229 + ... + 100307.

It is an arithmetic number, because the mean of its divisors is an integer number (14485680).

Almost surely, 2685020672 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 685020672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158854400).

685020672 is an abundant number, since it is smaller than the sum of its proper divisors (1632688128).

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

685020672 is an equidigital number, since it uses as much as digits as its factorization.

685020672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7113 (or 7091 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 685020672 is about 26172.8995718854. The cubic root of 685020672 is about 881.5248493532.

The spelling of 685020672 in words is "six hundred eighty-five million, twenty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 512 576 672 756 768 864 896 1008 1152 1344 1512 1536 1728 1792 2016 2304 2688 3024 3456 3584 4032 4608 5376 6048 6912 7079 8064 10752 12096 13824 14158 16128 21237 24192 28316 32256 42474 48384 49553 56632 63711 84948 96768 99106 113264 127422 148659 169896 191133 198212 226528 254844 297318 339792 382266 396424 445977 453056 509688 594636 679584 764532 792848 891954 906112 1019376 1189272 1337931 1359168 1529064 1585696 1783908 1812224 2038752 2378544 2675862 2718336 3058128 3171392 3567816 3624448 4077504 4757088 5351724 5436672 6116256 6342784 7135632 8155008 9514176 10703448 10873344 12232512 12685568 14271264 16310016 19028352 21406896 24465024 25371136 28542528 32620032 38056704 42813792 48930048 57085056 76113408 85627584 97860096 114170112 171255168 228340224 342510336 685020672