Search a number
-
+
1006684019 = 11175991243
BaseRepresentation
bin111100000000001…
…100011101110011
32121011020211212022
4330000030131303
54030202342034
6243520422055
733642446555
oct7400143563
92534224768
101006684019
11477279670
1224117792b
1313073a623
14979ab4d5
155d5a1b2e
hex3c00c773

1006684019 has 16 divisors (see below), whose sum is σ = 1182522240. Its totient is φ = 846725760.

The previous prime is 1006684001. The next prime is 1006684127. The reversal of 1006684019 is 9104866001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1006684019 is a prime.

It is a super-2 number, since 2×10066840192 = 2026825428219984722, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1006684019.

It is not an unprimeable number, because it can be changed into a prime (1006684319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34589 + ... + 56654.

It is an arithmetic number, because the mean of its divisors is an integer number (73907640).

Almost surely, 21006684019 is an apocalyptic number.

1006684019 is a deficient number, since it is larger than the sum of its proper divisors (175838221).

1006684019 is a wasteful number, since it uses less digits than its factorization.

1006684019 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91330.

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 1006684019 is about 31728.2842114099. The cubic root of 1006684019 is about 1002.2230606725.

The spelling of 1006684019 in words is "one billion, six million, six hundred eighty-four thousand, nineteen".

Divisors: 1 11 17 59 187 649 1003 11033 91243 1003673 1551131 5383337 17062441 59216707 91516729 1006684019