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1082986400 = 25521353733
BaseRepresentation
bin100000010001101…
…0000111110100000
32210110211102001102
41000203100332200
54204221031100
6255244053532
735560142516
oct10043207640
92713742042
101082986400
11506354791
122628342a8
131434a4972
14a3b904b6
1565124cd5
hex408d0fa0

1082986400 has 36 divisors (see below), whose sum is σ = 2643842502. Its totient is φ = 433194240.

The previous prime is 1082986379. The next prime is 1082986403. The reversal of 1082986400 is 46892801.

It can be written as a sum of positive squares in 3 ways, for example, as 1022208784 + 60777616 = 31972^2 + 7796^2 .

It is not an unprimeable number, because it can be changed into a prime (1082986403) 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 5 ways as a sum of consecutive naturals, for example, 676067 + ... + 677666.

Almost surely, 21082986400 is an apocalyptic number.

1082986400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1082986400 is an abundant number, since it is smaller than the sum of its proper divisors (1560856102).

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

1082986400 is a wasteful number, since it uses less digits than its factorization.

1082986400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353753 (or 1353740 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 1082986400 is about 32908.7587125373. The cubic root of 1082986400 is about 1026.9303777134.

The spelling of 1082986400 in words is "one billion, eighty-two million, nine hundred eighty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1353733 2707466 5414932 6768665 10829864 13537330 21659728 27074660 33843325 43319456 54149320 67686650 108298640 135373300 216597280 270746600 541493200 1082986400