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1083438840 = 2335112293183
BaseRepresentation
bin100000010010011…
…1111011011111000
32210111200101200110
41000210333123320
54204330020330
6255301504320
735564035551
oct10044773370
92714611613
101083438840
11506633700
12262a120a0
13143602893
14a3c6b328
15651b3db0
hex4093f6f8

1083438840 has 384 divisors, whose sum is σ = 3861043200. Its totient is φ = 242457600.

The previous prime is 1083438821. The next prime is 1083438859. The reversal of 1083438840 is 488343801.

It is an interprime number because it is at equal distance from previous prime (1083438821) and next prime (1083438859).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13053439 + ... + 13053521.

It is an arithmetic number, because the mean of its divisors is an integer number (10054800).

Almost surely, 21083438840 is an apocalyptic number.

1083438840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1083438840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930521600).

1083438840 is an abundant number, since it is smaller than the sum of its proper divisors (2777604360).

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

1083438840 is a wasteful number, since it uses less digits than its factorization.

1083438840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 1083438840 is about 32915.6321525199. The cubic root of 1083438840 is about 1027.0733649485.

The spelling of 1083438840 in words is "one billion, eighty-three million, four hundred thirty-eight thousand, eight hundred forty".