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820804230 = 232518150387
BaseRepresentation
bin110000111011000…
…111101010000110
32010012111011201200
4300323013222012
53140111213410
6213240403330
726224502151
oct6073075206
92105434650
10820804230
11391360404
121aaa76546
1310108839c
147b022c98
154c0d63c0
hex30ec7a86

820804230 has 48 divisors (see below), whose sum is σ = 2145924144. Its totient is φ = 217667520.

The previous prime is 820804223. The next prime is 820804279. The reversal of 820804230 is 32408028.

820804230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 820804194 and 820804203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8904 + ... + 41483.

It is an arithmetic number, because the mean of its divisors is an integer number (44706753).

Almost surely, 2820804230 is an apocalyptic number.

820804230 is an abundant number, since it is smaller than the sum of its proper divisors (1325119914).

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

820804230 is a wasteful number, since it uses less digits than its factorization.

820804230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50581 (or 50578 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 820804230 is about 28649.6811500582. The cubic root of 820804230 is about 936.2960588225.

The spelling of 820804230 in words is "eight hundred twenty million, eight hundred four thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 181 362 543 905 1086 1629 1810 2715 3258 5430 8145 16290 50387 100774 151161 251935 302322 453483 503870 755805 906966 1511610 2267415 4534830 9120047 18240094 27360141 45600235 54720282 82080423 91200470 136800705 164160846 273601410 410402115 820804230