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1006770010 = 25731379137
BaseRepresentation
bin111100000000100…
…001011101011010
32121011102012211011
4330000201131122
54030213120020
6243522324134
733643255351
oct7400413532
92534365734
101006770010
11477328234
122411b964a
1313076a7cc
14979d0998
155d5bc35a
hex3c02175a

1006770010 has 16 divisors (see below), whose sum is σ = 1837011816. Its totient is φ = 397191168.

The previous prime is 1006769987. The next prime is 1006770019. The reversal of 1006770010 is 100776001.

It can be written as a sum of positive squares in 4 ways, for example, as 672209329 + 334560681 = 25927^2 + 18291^2 .

It is not an unprimeable number, because it can be changed into a prime (1006770019) 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 7 ways as a sum of consecutive naturals, for example, 688839 + ... + 690298.

Almost surely, 21006770010 is an apocalyptic number.

1006770010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1006770010 is a deficient number, since it is larger than the sum of its proper divisors (830241806).

1006770010 is a wasteful number, since it uses less digits than its factorization.

1006770010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379217.

The product of its (nonzero) digits is 294, while the sum is 22.

The square root of 1006770010 is about 31729.6392982965. The cubic root of 1006770010 is about 1002.2515965082.

The spelling of 1006770010 in words is "one billion, six million, seven hundred seventy thousand, ten".

Divisors: 1 2 5 10 73 146 365 730 1379137 2758274 6895685 13791370 100677001 201354002 503385005 1006770010