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2067416028 = 2233181105761
BaseRepresentation
bin111101100111010…
…0100001111011100
312100002012121122000
41323032210033130
513213224303103
6541051522300
7102142513656
oct17316441734
95302177560
102067416028
11971003297
12498459390
1326c41c9c2
141588076d6
15c177caa3
hex7b3a43dc

2067416028 has 48 divisors (see below), whose sum is σ = 5389631520. Its totient is φ = 685324800.

The previous prime is 2067416027. The next prime is 2067416077. The reversal of 2067416028 is 8206147602.

2067416028 is a `hidden beast` number, since 2 + 0 + 6 + 7 + 41 + 602 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2067415983 and 2067416001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2067416027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33333 + ... + 72428.

It is an arithmetic number, because the mean of its divisors is an integer number (112283990).

Almost surely, 22067416028 is an apocalyptic number.

It is an amenable number.

2067416028 is an abundant number, since it is smaller than the sum of its proper divisors (3322215492).

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

2067416028 is a wasteful number, since it uses less digits than its factorization.

2067416028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105955 (or 105947 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2067416028 is about 45468.8467854640. The cubic root of 2067416028 is about 1273.9213798114.

The spelling of 2067416028 in words is "two billion, sixty-seven million, four hundred sixteen thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 181 362 543 724 1086 1629 2172 3258 4887 6516 9774 19548 105761 211522 317283 423044 634566 951849 1269132 1903698 2855547 3807396 5711094 11422188 19142741 38285482 57428223 76570964 114856446 172284669 229712892 344569338 516854007 689138676 1033708014 2067416028