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682126920 = 23345210533
BaseRepresentation
bin101000101010000…
…110111001001000
31202112112122020000
4220222012321020
52344111030140
6151404203000
722621661136
oct5052067110
91675478200
10682126920
11320052062
12170539460
13ab4220c7
1466844756
153ed41a30
hex28a86e48

682126920 has 80 divisors (see below), whose sum is σ = 2292715260. Its totient is φ = 181899648.

The previous prime is 682126901. The next prime is 682126943. The reversal of 682126920 is 29621286.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 600152004 + 81974916 = 24498^2 + 9054^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 102027 + ... + 108506.

Almost surely, 2682126920 is an apocalyptic number.

682126920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

682126920 is an abundant number, since it is smaller than the sum of its proper divisors (1610588340).

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

682126920 is a wasteful number, since it uses less digits than its factorization.

682126920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210556 (or 210543 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 682126920 is about 26117.5596103464. The cubic root of 682126920 is about 880.2818140113.

The spelling of 682126920 in words is "six hundred eighty-two million, one hundred twenty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 210533 421066 631599 842132 1052665 1263198 1684264 1894797 2105330 2526396 3157995 3789594 4210660 5052792 5684391 6315990 7579188 8421320 9473985 11368782 12631980 15158376 17053173 18947970 22737564 25263960 28421955 34106346 37895940 45475128 56843910 68212692 75791880 85265865 113687820 136425384 170531730 227375640 341063460 682126920