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820146990 = 235132102941
BaseRepresentation
bin110000111000100…
…111001100101110
32010011020210011110
4300320213030232
53134424200430
6213214332450
726216064045
oct6070471456
92104223143
10820146990
11390a51633
121aa7ba126
13100bb81a0
147acd155c
154c0067b0
hex30e2732e

820146990 has 32 divisors (see below), whose sum is σ = 2119765536. Its totient is φ = 201882240.

The previous prime is 820146979. The next prime is 820147007. The reversal of 820146990 is 99641028.

820146990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

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, 1051081 + ... + 1051860.

It is an arithmetic number, because the mean of its divisors is an integer number (66242673).

Almost surely, 2820146990 is an apocalyptic number.

820146990 is an abundant number, since it is smaller than the sum of its proper divisors (1299618546).

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

820146990 is a wasteful number, since it uses less digits than its factorization.

820146990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102964.

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 820146990 is about 28638.2085682747. The cubic root of 820146990 is about 936.0460862873.

The spelling of 820146990 in words is "eight hundred twenty million, one hundred forty-six thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 2102941 4205882 6308823 10514705 12617646 21029410 27338233 31544115 54676466 63088230 82014699 136691165 164029398 273382330 410073495 820146990