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1066124420 = 225222124001
BaseRepresentation
bin111111100010111…
…100010010000100
32202022002201202122
4333202330102010
54140411440140
6253442425112
735263623314
oct7742742204
92668081678
101066124420
114a7888069
12259062198
1313cb4c96a
14a1841444
15638e3ab5
hex3f8bc484

1066124420 has 24 divisors (see below), whose sum is σ = 2239962648. Its totient is φ = 426240000.

The previous prime is 1066124399. The next prime is 1066124443. The reversal of 1066124420 is 244216601.

1066124420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 88811776 + 977312644 = 9424^2 + 31262^2 .

It is a super-2 number, since 2×10661244202 = 2273242557840672800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1066124420.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32420 + ... + 56420.

It is an arithmetic number, because the mean of its divisors is an integer number (93331777).

Almost surely, 21066124420 is an apocalyptic number.

1066124420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1066124420 is an abundant number, since it is smaller than the sum of its proper divisors (1173838228).

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

1066124420 is a wasteful number, since it uses less digits than its factorization.

1066124420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26231 (or 26229 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 1066124420 is about 32651.5607590204. The cubic root of 1066124420 is about 1021.5727435383.

The spelling of 1066124420 in words is "one billion, sixty-six million, one hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 2221 4442 8884 11105 22210 24001 44420 48002 96004 120005 240010 480020 53306221 106612442 213224884 266531105 533062210 1066124420