Search a number
-
+
1006306670 = 251722912007
BaseRepresentation
bin111011111110110…
…000010101101110
32121010112200020102
4323332300111232
54030103303140
6243504351102
733636315455
oct7376602556
92533480212
101006306670
11477041106
12241015492
13130637945
149790db9c
155d529e15
hex3bfb056e

1006306670 has 48 divisors (see below), whose sum is σ = 1990686240. Its totient is φ = 365750784.

The previous prime is 1006306669. The next prime is 1006306681. The reversal of 1006306670 is 766036001.

It is a happy number.

1006306670 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10063066702 = 2025306228172977800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77807 + ... + 89813.

It is an arithmetic number, because the mean of its divisors is an integer number (41472630).

Almost surely, 21006306670 is an apocalyptic number.

1006306670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1006306670 is a deficient number, since it is larger than the sum of its proper divisors (984379570).

1006306670 is a wasteful number, since it uses less digits than its factorization.

1006306670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12077 (or 12060 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 1006306670 is about 31722.3370828822. The cubic root of 1006306670 is about 1002.0978194097.

The spelling of 1006306670 in words is "one billion, six million, three hundred six thousand, six hundred seventy".

Divisors: 1 2 5 10 17 29 34 58 85 145 170 289 290 493 578 986 1445 2465 2890 4930 8381 12007 16762 24014 41905 60035 83810 120070 204119 348203 408238 696406 1020595 1741015 2041190 3470023 3482030 5919451 6940046 11838902 17350115 29597255 34700230 59194510 100630667 201261334 503153335 1006306670