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682040100 = 223527324781
BaseRepresentation
bin101000101001110…
…001101100100100
31202112101020010110
4220221301230210
52344100240400
6151402253020
722621150050
oct5051615444
91675336113
10682040100
1131aaa2905
121704b7170
13ab3c1731
1466820c60
153ed25e50
hex28a71b24

682040100 has 72 divisors (see below), whose sum is σ = 2255286208. Its totient is φ = 155894400.

The previous prime is 682040087. The next prime is 682040111. The reversal of 682040100 is 1040286.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160291 + ... + 164490.

Almost surely, 2682040100 is an apocalyptic number.

682040100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

682040100 is an abundant number, since it is smaller than the sum of its proper divisors (1573246108).

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

682040100 is a wasteful number, since it uses less digits than its factorization.

682040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324805 (or 324798 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 682040100 is about 26115.8974572960. The cubic root of 682040100 is about 880.2444654830.

Adding to 682040100 its reverse (1040286), we get a palindrome (683080386).

The spelling of 682040100 in words is "six hundred eighty-two million, forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 324781 649562 974343 1299124 1623905 1948686 2273467 3247810 3897372 4546934 4871715 6495620 6820401 8119525 9093868 9743430 11367335 13640802 16239050 19486860 22734670 24358575 27281604 32478100 34102005 45469340 48717150 56836675 68204010 97434300 113673350 136408020 170510025 227346700 341020050 682040100