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1082215890 = 234573147131
BaseRepresentation
bin100000010000001…
…0100110111010010
32210102101021010000
41000200110313102
54204021402030
6255215350430
735550453240
oct10040246722
92712337100
101082215890
115059788a8
12262522416
13143295042
14a3a2d790
1565021860
hex40814dd2

1082215890 has 320 divisors, whose sum is σ = 3532750848. Its totient is φ = 232502400.

The previous prime is 1082215853. The next prime is 1082215891. The reversal of 1082215890 is 985122801.

It is not an unprimeable number, because it can be changed into a prime (1082215891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8261125 + ... + 8261255.

Almost surely, 21082215890 is an apocalyptic number.

1082215890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1082215890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766375424).

1082215890 is an abundant number, since it is smaller than the sum of its proper divisors (2450534958).

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

1082215890 is a wasteful number, since it uses less digits than its factorization.

1082215890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 1082215890 is about 32897.0498677313. The cubic root of 1082215890 is about 1026.6867772855.

The spelling of 1082215890 in words is "one billion, eighty-two million, two hundred fifteen thousand, eight hundred ninety".