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820790140 = 225476611321
BaseRepresentation
bin110000111011000…
…100001101111100
32010012110110101211
4300323010031330
53140110241030
6213240214204
726224413112
oct6073041574
92105413354
10820790140
11391350865
121aaa6a364
13101081b51
147b01bab2
154c0d212a
hex30ec437c

820790140 has 48 divisors (see below), whose sum is σ = 1764330624. Its totient is φ = 320601600.

The previous prime is 820790099. The next prime is 820790183. The reversal of 820790140 is 41097028.

820790140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 620680 + ... + 622000.

It is an arithmetic number, because the mean of its divisors is an integer number (36756888).

Almost surely, 2820790140 is an apocalyptic number.

It is an amenable number.

820790140 is an abundant number, since it is smaller than the sum of its proper divisors (943540484).

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

820790140 is a wasteful number, since it uses less digits than its factorization.

820790140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 820790140 is about 28649.4352474879. The cubic root of 820790140 is about 936.2907012775.

The spelling of 820790140 in words is "eight hundred twenty million, seven hundred ninety thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 47 94 188 235 470 661 940 1321 1322 2642 2644 3305 5284 6605 6610 13210 13220 26420 31067 62087 62134 124174 124268 155335 248348 310435 310670 620870 621340 873181 1241740 1746362 3492724 4365905 8731810 17463620 41039507 82079014 164158028 205197535 410395070 820790140