Search a number
-
+
1006023216 = 243111905347
BaseRepresentation
bin111011111101101…
…011001000110000
32121010000021102010
4323331223020300
54030020220331
6243454322520
733634025202
oct7375531060
92533007363
101006023216
11476968150
12240ab9440
13130568913
1497878772
155d4c0e46
hex3bf6b230

1006023216 has 40 divisors (see below), whose sum is σ = 2835157824. Its totient is φ = 304855360.

The previous prime is 1006023133. The next prime is 1006023217. The reversal of 1006023216 is 6123206001.

It is a happy number.

It is a super-2 number, since 2×10060232162 = 2024165422261965312, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1006023192 and 1006023201.

It is not an unprimeable number, because it can be changed into a prime (1006023217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 952146 + ... + 953201.

Almost surely, 21006023216 is an apocalyptic number.

1006023216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1006023216 is an abundant number, since it is smaller than the sum of its proper divisors (1829134608).

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

1006023216 is a wasteful number, since it uses less digits than its factorization.

1006023216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905369 (or 1905363 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1006023216 is about 31717.8690330861. The cubic root of 1006023216 is about 1002.0037210869.

Adding to 1006023216 its reverse (6123206001), we get a palindrome (7129229217).

The spelling of 1006023216 in words is "one billion, six million, twenty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1905347 3810694 5716041 7621388 11432082 15242776 20958817 22864164 30485552 41917634 45728328 62876451 83835268 91456656 125752902 167670536 251505804 335341072 503011608 1006023216