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2062708128 = 253213550937
BaseRepresentation
bin111101011110010…
…0110110110100000
312022202100102121100
41322330212312200
513211023130003
6540402554400
7102054505215
oct17274466640
95282312540
102062708128
11969388168
12496968a00
1326b461b70
14157d3db0c
15c114cba3
hex7af26da0

2062708128 has 72 divisors (see below), whose sum is σ = 6317055108. Its totient is φ = 634678272.

The previous prime is 2062708121. The next prime is 2062708139. The reversal of 2062708128 is 8218072602.

It is a happy number.

2062708128 is a `hidden beast` number, since 2 + 0 + 627 + 0 + 8 + 1 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2023920144 + 38787984 = 44988^2 + 6228^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 2062708092 and 2062708101.

It is not an unprimeable number, because it can be changed into a prime (2062708121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 271725 + ... + 279212.

Almost surely, 22062708128 is an apocalyptic number.

It is an amenable number.

2062708128 is an abundant number, since it is smaller than the sum of its proper divisors (4254346980).

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

2062708128 is a wasteful number, since it uses less digits than its factorization.

2062708128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550966 (or 550955 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2062708128 is about 45417.0466675234. The cubic root of 2062708128 is about 1272.9536576839.

The spelling of 2062708128 in words is "two billion, sixty-two million, seven hundred eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 550937 1101874 1652811 2203748 3305622 4407496 4958433 6611244 7162181 8814992 9916866 13222488 14324362 17629984 19833732 21486543 26444976 28648724 39667464 42973086 52889952 57297448 64459629 79334928 85946172 114594896 128919258 158669856 171892344 229189792 257838516 343784688 515677032 687569376 1031354064 2062708128