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1082471040 = 27345719157
BaseRepresentation
bin100000010000101…
…0011001010000000
32210102212020010000
41000201103022000
54204103033130
6255225040000
735552565150
oct10041231200
92712766100
101082471040
11506032572
12262626000
13143354211
14a3a98760
1565072260
hex40853280

1082471040 has 640 divisors, whose sum is σ = 4680086400. Its totient is φ = 232906752.

The previous prime is 1082471017. The next prime is 1082471063. The reversal of 1082471040 is 401742801.

It is an interprime number because it is at equal distance from previous prime (1082471017) and next prime (1082471063).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1082470995 and 1082471013.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6894642 + ... + 6894798.

It is an arithmetic number, because the mean of its divisors is an integer number (7312635).

Almost surely, 21082471040 is an apocalyptic number.

1082471040 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 1082471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340043200).

1082471040 is an abundant number, since it is smaller than the sum of its proper divisors (3597615360).

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

1082471040 is a wasteful number, since it uses less digits than its factorization.

1082471040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 1082471040 is about 32900.9276464965. The cubic root of 1082471040 is about 1026.7674569814.

The spelling of 1082471040 in words is "one billion, eighty-two million, four hundred seventy-one thousand, forty".