Search a number
-
+
1006380198 = 232424313177
BaseRepresentation
bin111011111111000…
…010010010100110
32121010200102002200
4323333002102212
54030113131243
6243510115330
733640043025
oct7377022246
92533612080
101006380198
1147709137a
1224104bb46
13130662255
149792c8bc
155d541ad3
hex3bfc24a6

1006380198 has 24 divisors (see below), whose sum is σ = 2181169848. Its totient is φ = 335355552.

The previous prime is 1006380197. The next prime is 1006380209. The reversal of 1006380198 is 8910836001.

1006380198 is a `hidden beast` number, since 1 + 0 + 0 + 638 + 0 + 19 + 8 = 666.

It is a super-2 number, since 2×10063801982 = 2025602205853038408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006380197) 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 11 ways as a sum of consecutive naturals, for example, 69786 + ... + 82962.

It is an arithmetic number, because the mean of its divisors is an integer number (90882077).

Almost surely, 21006380198 is an apocalyptic number.

1006380198 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1006380198 is an abundant number, since it is smaller than the sum of its proper divisors (1174789650).

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

1006380198 is a wasteful number, since it uses less digits than its factorization.

1006380198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17428 (or 17425 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1006380198 is about 31723.4959927181. The cubic root of 1006380198 is about 1002.1222256389.

The spelling of 1006380198 in words is "one billion, six million, three hundred eighty thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 18 4243 8486 12729 13177 25458 26354 38187 39531 76374 79062 118593 237186 55910011 111820022 167730033 335460066 503190099 1006380198