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820898712 = 23351812333
BaseRepresentation
bin110000111011011…
…110101110011000
32010012122222100000
4300323132232120
53140122224322
6213242413000
726225344464
oct6073365630
92105588300
10820898712
11391415397
121aab01160
131010bc3aa
147b0494a4
154c1043ac
hex30edeb98

820898712 has 96 divisors (see below), whose sum is σ = 2319342480. Its totient is φ = 272004480.

The previous prime is 820898699. The next prime is 820898731. The reversal of 820898712 is 217898028.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 350698 + ... + 353030.

Almost surely, 2820898712 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 820898712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159671240).

820898712 is an abundant number, since it is smaller than the sum of its proper divisors (1498443768).

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

820898712 is a wasteful number, since it uses less digits than its factorization.

820898712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2535 (or 2519 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 820898712 is about 28651.3300214842. The cubic root of 820898712 is about 936.3319828293.

The spelling of 820898712 in words is "eight hundred twenty million, eight hundred ninety-eight thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 181 216 243 324 362 486 543 648 724 972 1086 1448 1629 1944 2172 2333 3258 4344 4666 4887 6516 6999 9332 9774 13032 13998 14661 18664 19548 20997 27996 29322 39096 41994 43983 55992 58644 62991 83988 87966 117288 125982 167976 175932 188973 251964 351864 377946 422273 503928 566919 755892 844546 1133838 1266819 1511784 1689092 2267676 2533638 3378184 3800457 4535352 5067276 7600914 10134552 11401371 15201828 22802742 30403656 34204113 45605484 68408226 91210968 102612339 136816452 205224678 273632904 410449356 820898712