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682296520 = 235831511361
BaseRepresentation
bin101000101010110…
…000010011001000
31202112212020212111
4220222300103020
52344131442040
6151411552104
722623265453
oct5052602310
91675766774
10682296520
11320158524
121705bb634
13ab481369
146688a49a
153ed76dea
hex28ab04c8

682296520 has 64 divisors (see below), whose sum is σ = 1565101440. Its totient is φ = 267648000.

The previous prime is 682296491. The next prime is 682296533. The reversal of 682296520 is 25692286.

It is a super-2 number, since 2×6822965202 = 931057082408220800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 500640 + ... + 502000.

It is an arithmetic number, because the mean of its divisors is an integer number (24454710).

Almost surely, 2682296520 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 682296520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782550720).

682296520 is an abundant number, since it is smaller than the sum of its proper divisors (882804920).

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

682296520 is a wasteful number, since it uses less digits than its factorization.

682296520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 682296520 is about 26120.8062662698. The cubic root of 682296520 is about 880.3547639857.

The spelling of 682296520 in words is "six hundred eighty-two million, two hundred ninety-six thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 83 151 166 302 332 415 604 664 755 830 1208 1361 1510 1660 2722 3020 3320 5444 6040 6805 10888 12533 13610 25066 27220 50132 54440 62665 100264 112963 125330 205511 225926 250660 411022 451852 501320 564815 822044 903704 1027555 1129630 1644088 2055110 2259260 4110220 4518520 8220440 17057413 34114826 68229652 85287065 136459304 170574130 341148260 682296520