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1285032820 = 22564251641
BaseRepresentation
bin100110010011000…
…0000101101110100
310022120000102122011
41030212000231310
510112432022240
6331302414004
743562412241
oct11446005564
93276012564
101285032820
115aa4051a5
122ba431304
131762c7566
14c29465c8
1577c356ea
hex4c980b74

1285032820 has 12 divisors (see below), whose sum is σ = 2698568964. Its totient is φ = 514013120.

The previous prime is 1285032787. The next prime is 1285032821. The reversal of 1285032820 is 282305821.

It can be written as a sum of positive squares in 2 ways, for example, as 777071376 + 507961444 = 27876^2 + 22538^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1285032821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32125801 + ... + 32125840.

It is an arithmetic number, because the mean of its divisors is an integer number (224880747).

Almost surely, 21285032820 is an apocalyptic number.

1285032820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1285032820 is an abundant number, since it is smaller than the sum of its proper divisors (1413536144).

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

1285032820 is a wasteful number, since it uses less digits than its factorization.

1285032820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64251650 (or 64251648 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 1285032820 is about 35847.3544351602. The cubic root of 1285032820 is about 1087.1882247139.

The spelling of 1285032820 in words is "one billion, two hundred eighty-five million, thirty-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 64251641 128503282 257006564 321258205 642516410 1285032820