Search a number
-
+
1006550061 = 311197321991
BaseRepresentation
bin111011111111101…
…011110000101101
32121011000001002220
4323333223300231
54030134100221
6243513505553
733641351166
oct7377536055
92534001086
101006550061
11477197a60
122411122b9
131306c166a
149797476d
155d5770c6
hex3bfebc2d

1006550061 has 32 divisors (see below), whose sum is σ = 1562311680. Its totient is φ = 569980800.

The previous prime is 1006550053. The next prime is 1006550071. The reversal of 1006550061 is 1600556001.

It is not a de Polignac number, because 1006550061 - 23 = 1006550053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006550011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34776 + ... + 56766.

It is an arithmetic number, because the mean of its divisors is an integer number (48822240).

Almost surely, 21006550061 is an apocalyptic number.

1006550061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1006550061 is a deficient number, since it is larger than the sum of its proper divisors (555761619).

1006550061 is a wasteful number, since it uses less digits than its factorization.

1006550061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22097.

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 1006550061 is about 31726.1731225183. The cubic root of 1006550061 is about 1002.1786039049.

The spelling of 1006550061 in words is "one billion, six million, five hundred fifty thousand, sixty-one".

Divisors: 1 3 11 19 33 57 73 209 219 627 803 1387 2409 4161 15257 21991 45771 65973 241901 417829 725703 1253487 1605343 4596119 4816029 13788357 17658773 30501517 52976319 91504551 335516687 1006550061