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1082014864 = 24721638467
BaseRepresentation
bin100000001111110…
…0011110010010000
32210102000001100121
41000133203302100
54203443433424
6255211200024
735545655200
oct10037436220
92712001317
101082014864
11505850867
12262446014
131432246a8
14a39ba400
1564ed1ee4
hex407e3c90

1082014864 has 60 divisors (see below), whose sum is σ = 2453924784. Its totient is φ = 460821312.

The previous prime is 1082014859. The next prime is 1082014867. The reversal of 1082014864 is 4684102801.

It is not an unprimeable number, because it can be changed into a prime (1082014867) 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 11 ways as a sum of consecutive naturals, for example, 123559 + ... + 132025.

Almost surely, 21082014864 is an apocalyptic number.

1082014864 is a gapful number since it is divisible by the number (14) 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 1082014864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226962392).

1082014864 is an abundant number, since it is smaller than the sum of its proper divisors (1371909920).

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

1082014864 is a wasteful number, since it uses less digits than its factorization.

1082014864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8652 (or 8639 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 1082014864 is about 32893.9943454729. The cubic root of 1082014864 is about 1026.6232029350.

The spelling of 1082014864 in words is "one billion, eighty-two million, fourteen thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 163 196 326 392 652 784 1141 1304 2282 2608 4564 7987 8467 9128 15974 16934 18256 31948 33868 59269 63896 67736 118538 127792 135472 237076 414883 474152 829766 948304 1380121 1659532 2760242 3319064 5520484 6638128 9660847 11040968 19321694 22081936 38643388 67625929 77286776 135251858 154573552 270503716 541007432 1082014864