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1006276130 = 256110116333
BaseRepresentation
bin111011111110101…
…000111000100010
32121010111010100022
4323332220320202
54030101314010
6243503553442
733636130436
oct7376507042
92533433308
101006276130
11477020172
12240bbb882
13130626a82
14979029c6
155d520d55
hex3bfa8e22

1006276130 has 32 divisors (see below), whose sum is σ = 1859331888. Its totient is φ = 391968000.

The previous prime is 1006276129. The next prime is 1006276177. The reversal of 1006276130 is 316726001.

It can be written as a sum of positive squares in 8 ways, for example, as 191573281 + 814702849 = 13841^2 + 28543^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1006276130.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 53444 + ... + 69776.

Almost surely, 21006276130 is an apocalyptic number.

1006276130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1006276130 is a deficient number, since it is larger than the sum of its proper divisors (853055758).

1006276130 is a wasteful number, since it uses less digits than its factorization.

1006276130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16502.

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 1006276130 is about 31721.8557149483. The cubic root of 1006276130 is about 1002.0876818847.

The spelling of 1006276130 in words is "one billion, six million, two hundred seventy-six thousand, one hundred thirty".

Divisors: 1 2 5 10 61 101 122 202 305 505 610 1010 6161 12322 16333 30805 32666 61610 81665 163330 996313 1649633 1992626 3299266 4981565 8248165 9963130 16496330 100627613 201255226 503138065 1006276130