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1820005528 = 231122816691
BaseRepresentation
bin110110001111011…
…0001010010011000
311200211122212020011
41230132301102120
512211410134103
6500333011304
763046535365
oct15436612230
94624585204
101820005528
11854389100
12429623b34
132300a5b63
14133a0346c
15a9baad6d
hex6c7b1498

1820005528 has 48 divisors (see below), whose sum is σ = 3764852280. Its totient is φ = 824208000.

The previous prime is 1820005507. The next prime is 1820005529. The reversal of 1820005528 is 8255000281.

It is a self number, because there is not a number n which added to its sum of digits gives 1820005528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1820005529) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 268663 + ... + 275353.

Almost surely, 21820005528 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 1820005528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882426140).

1820005528 is an abundant number, since it is smaller than the sum of its proper divisors (1944846752).

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

1820005528 is a wasteful number, since it uses less digits than its factorization.

1820005528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7000 (or 6985 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 31.

The square root of 1820005528 is about 42661.5228045132. The cubic root of 1820005528 is about 1220.9303858804.

The spelling of 1820005528 in words is "one billion, eight hundred twenty million, five thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 88 121 242 281 484 562 968 1124 2248 3091 6182 6691 12364 13382 24728 26764 34001 53528 68002 73601 136004 147202 272008 294404 588808 809611 1619222 1880171 3238444 3760342 6476888 7520684 15041368 20681881 41363762 82727524 165455048 227500691 455001382 910002764 1820005528