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820265480 = 23520506637
BaseRepresentation
bin110000111001000…
…100001000001000
32010011110210200222
4300321010020020
53134441443410
6213221045212
726220066356
oct6071041010
92104423628
10820265480
11391022661
121aa856808
13100c2a0b8
147ad227d6
154c02b955
hex30e44208

820265480 has 16 divisors (see below), whose sum is σ = 1845597420. Its totient is φ = 328106176.

The previous prime is 820265477. The next prime is 820265483. The reversal of 820265480 is 84562028.

It is an interprime number because it is at equal distance from previous prime (820265477) and next prime (820265483).

It can be written as a sum of positive squares in 2 ways, for example, as 770506564 + 49758916 = 27758^2 + 7054^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 820265480.

It is not an unprimeable number, because it can be changed into a prime (820265483) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10253279 + ... + 10253358.

Almost surely, 2820265480 is an apocalyptic number.

It is an amenable number.

820265480 is an abundant number, since it is smaller than the sum of its proper divisors (1025331940).

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

820265480 is a wasteful number, since it uses less digits than its factorization.

820265480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20506648 (or 20506644 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 820265480 is about 28640.2772332951. The cubic root of 820265480 is about 936.0911622559.

The spelling of 820265480 in words is "eight hundred twenty million, two hundred sixty-five thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 20506637 41013274 82026548 102533185 164053096 205066370 410132740 820265480