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681845760 = 21032514797
BaseRepresentation
bin101000101001000…
…010010000000000
31202112000100112200
4220221002100000
52344023031020
6151354153200
722616410341
oct5051022000
91675010480
10681845760
1131a97a8a2
12170422800
13ab35413b
14667b00c8
153ecd8590
hex28a42400

681845760 has 132 divisors (see below), whose sum is σ = 2362737468. Its totient is φ = 181813248.

The previous prime is 681845701. The next prime is 681845771. The reversal of 681845760 is 67548186.

It is a happy number.

681845760 is a `hidden beast` number, since 68 + 18 + 4 + 576 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 247873536 + 433972224 = 15744^2 + 20832^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38682 + ... + 53478.

Almost surely, 2681845760 is an apocalyptic number.

681845760 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 681845760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181368734).

681845760 is an abundant number, since it is smaller than the sum of its proper divisors (1680891708).

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

681845760 is a wasteful number, since it uses less digits than its factorization.

681845760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14828 (or 14807 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 681845760 is about 26112.1764699919. The cubic root of 681845760 is about 880.1608521393.

The spelling of 681845760 in words is "six hundred eighty-one million, eight hundred forty-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2880 3072 3840 4608 5120 5760 7680 9216 11520 14797 15360 23040 29594 44391 46080 59188 73985 88782 118376 133173 147970 177564 221955 236752 266346 295940 355128 443910 473504 532692 591880 665865 710256 887820 947008 1065384 1183760 1331730 1420512 1775640 1894016 2130768 2367520 2663460 2841024 3551280 3788032 4261536 4735040 5326920 5682048 7102560 7576064 8523072 9470080 10653840 11364096 14205120 15152128 17046144 18940160 21307680 22728192 28410240 34092288 37880320 42615360 45456384 56820480 68184576 75760640 85230720 113640960 136369152 170461440 227281920 340922880 681845760