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1006710441 = 31122773307
BaseRepresentation
bin111100000000010…
…010111010101001
32121011022012002220
4330000102322221
54030204213231
6243521144253
733642616602
oct7400227251
92534265086
101006710441
11477297500
1224118b089
13130749669
14979b6da9
155d5a9896
hex3c012ea9

1006710441 has 12 divisors (see below), whose sum is σ = 1475399856. Its totient is φ = 610127320.

The previous prime is 1006710427. The next prime is 1006710457. The reversal of 1006710441 is 1440176001.

It is not a de Polignac number, because 1006710441 - 29 = 1006709929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1006710841) 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 11 ways as a sum of consecutive naturals, for example, 1386291 + ... + 1387016.

It is an arithmetic number, because the mean of its divisors is an integer number (122949988).

Almost surely, 21006710441 is an apocalyptic number.

1006710441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1006710441 is a deficient number, since it is larger than the sum of its proper divisors (468689415).

1006710441 is a wasteful number, since it uses less digits than its factorization.

1006710441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773332 (or 2773321 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 1006710441 is about 31728.7005879535. The cubic root of 1006710441 is about 1002.2318289008.

Adding to 1006710441 its reverse (1440176001), we get a palindrome (2446886442).

The spelling of 1006710441 in words is "one billion, six million, seven hundred ten thousand, four hundred forty-one".

Divisors: 1 3 11 33 121 363 2773307 8319921 30506377 91519131 335570147 1006710441