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1082836440 = 233257597283
BaseRepresentation
bin100000010001010…
…1100010111011000
32210110112210100100
41000202230113120
54204201231230
6255240535400
735555646360
oct10042542730
92713483310
101082836440
11506262054
12262781560
1314345162a
14a3b519a0
15650e5660
hex408ac5d8

1082836440 has 192 divisors, whose sum is σ = 4090694400. Its totient is φ = 243277056.

The previous prime is 1082836439. The next prime is 1082836463. The reversal of 1082836440 is 446382801.

1082836440 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 8 + 3 + 644 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1082836395 and 1082836404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145039 + ... + 152321.

It is an arithmetic number, because the mean of its divisors is an integer number (21305700).

Almost surely, 21082836440 is an apocalyptic number.

1082836440 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 1082836440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2045347200).

1082836440 is an abundant number, since it is smaller than the sum of its proper divisors (3007857960).

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

1082836440 is a wasteful number, since it uses less digits than its factorization.

1082836440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7366 (or 7359 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1082836440 is about 32906.4802128699. The cubic root of 1082836440 is about 1026.8829761985.

The spelling of 1082836440 in words is "one billion, eighty-two million, eight hundred thirty-six thousand, four hundred forty".