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1007830023 = 317109181297
BaseRepresentation
bin111100000100100…
…100010000000111
32121020102001212220
4330010210100013
54031001030043
6244001143423
733655261644
oct7404442007
92536361786
101007830023
11477991682
1224162ab73
13130a4c135
1497bc8dcb
155d72b483
hex3c124407

1007830023 has 16 divisors (see below), whose sum is σ = 1435880160. Its totient is φ = 626558976.

The previous prime is 1007830003. The next prime is 1007830039. The reversal of 1007830023 is 3200387001.

It is not a de Polignac number, because 1007830023 - 212 = 1007825927 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1007829975 and 1007830002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007830003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85090 + ... + 96207.

It is an arithmetic number, because the mean of its divisors is an integer number (89742510).

Almost surely, 21007830023 is an apocalyptic number.

1007830023 is a deficient number, since it is larger than the sum of its proper divisors (428050137).

1007830023 is a wasteful number, since it uses less digits than its factorization.

1007830023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181426.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 1007830023 is about 31746.3387337816. The cubic root of 1007830023 is about 1002.6032250057.

The spelling of 1007830023 in words is "one billion, seven million, eight hundred thirty thousand, twenty-three".

Divisors: 1 3 17 51 109 327 1853 5559 181297 543891 3082049 9246147 19761373 59284119 335943341 1007830023