Search a number
-
+
1007000004 = 223474214241
BaseRepresentation
bin111100000001011…
…001100111000100
32121011211220022110
4330001121213010
54030243000004
6243531301020
733645234033
oct7401314704
92534756273
101007000004
1147747500a
122412aa770
1313081b3ba
1497a5071a
155d615589
hex3c0599c4

1007000004 has 48 divisors (see below), whose sum is σ = 2405926656. Its totient is φ = 327667200.

The previous prime is 1006999999. The next prime is 1007000009. The reversal of 1007000004 is 4000007001.

It is an interprime number because it is at equal distance from previous prime (1006999999) and next prime (1007000009).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1007000009) 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 15 ways as a sum of consecutive naturals, for example, 235324 + ... + 239564.

It is an arithmetic number, because the mean of its divisors is an integer number (50123472).

Almost surely, 21007000004 is an apocalyptic number.

It is an amenable number.

1007000004 is an abundant number, since it is smaller than the sum of its proper divisors (1398926652).

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

1007000004 is a wasteful number, since it uses less digits than its factorization.

1007000004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4716 (or 4714 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 1007000004 is about 31733.2633682702. The cubic root of 1007000004 is about 1002.3279112906.

Adding to 1007000004 its reverse (4000007001), we get a palindrome (5007007005).

The spelling of 1007000004 in words is "one billion, seven million, four", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 47 94 141 188 282 421 564 842 1263 1684 2526 4241 5052 8482 12723 16964 19787 25446 39574 50892 59361 79148 118722 199327 237444 398654 597981 797308 1195962 1785461 2391924 3570922 5356383 7141844 10712766 21425532 83916667 167833334 251750001 335666668 503500002 1007000004