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1082644020 = 223257382393
BaseRepresentation
bin100000010000111…
…1101011000110100
32210110012000101200
41000201331120310
54204124102040
6255232452500
735554215363
oct10041753064
92713160350
101082644020
11506140527
122626aa130
131433b4b83
14a3b017da
15650a8630
hex4087d634

1082644020 has 72 divisors (see below), whose sum is σ = 3329047176. Its totient is φ = 284746752.

The previous prime is 1082644019. The next prime is 1082644027. The reversal of 1082644020 is 204462801.

1082644020 is a `hidden beast` number, since 10 + 8 + 2 + 644 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 325513764 + 757130256 = 18042^2 + 27516^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1082644027) 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 23 ways as a sum of consecutive naturals, for example, 28057 + ... + 54336.

Almost surely, 21082644020 is an apocalyptic number.

1082644020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1082644020 is an abundant number, since it is smaller than the sum of its proper divisors (2246403156).

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

1082644020 is a wasteful number, since it uses less digits than its factorization.

1082644020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82481 (or 82476 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1082644020 is about 32903.5563427420. The cubic root of 1082644020 is about 1026.8221469048.

The spelling of 1082644020 in words is "one billion, eighty-two million, six hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1095 1314 1460 2190 2628 3285 4380 6570 13140 82393 164786 247179 329572 411965 494358 741537 823930 988716 1235895 1483074 1647860 2471790 2966148 3707685 4943580 6014689 7415370 12029378 14830740 18044067 24058756 30073445 36088134 54132201 60146890 72176268 90220335 108264402 120293780 180440670 216528804 270661005 360881340 541322010 1082644020