Search a number
-
+
1058364198 = 23371276047
BaseRepresentation
bin111111000101010…
…101101100100110
32201202111110202000
4333011111230212
54131420123243
6253004230130
735140642623
oct7705255446
92652443660
101058364198
114a3467761
1225653b346
1313b363708
14a07c134a
1562dae5d3
hex3f155b26

1058364198 has 32 divisors (see below), whose sum is σ = 2385054720. Its totient is φ = 347817960.

The previous prime is 1058364191. The next prime is 1058364217. The reversal of 1058364198 is 8914638501.

1058364198 is a `hidden beast` number, since 1 + 0 + 583 + 64 + 1 + 9 + 8 = 666.

It is a super-2 number, since 2×10583641982 = 2240269551216366408, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1058364191) 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 15 ways as a sum of consecutive naturals, for example, 134190 + ... + 141857.

It is an arithmetic number, because the mean of its divisors is an integer number (74532960).

Almost surely, 21058364198 is an apocalyptic number.

1058364198 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1058364198 is an abundant number, since it is smaller than the sum of its proper divisors (1326690522).

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

1058364198 is a wasteful number, since it uses less digits than its factorization.

1058364198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276129 (or 276123 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1058364198 is about 32532.5098632122. The cubic root of 1058364198 is about 1019.0880603481.

The spelling of 1058364198 in words is "one billion, fifty-eight million, three hundred sixty-four thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 54 71 142 213 426 639 1278 1917 3834 276047 552094 828141 1656282 2484423 4968846 7453269 14906538 19599337 39198674 58798011 117596022 176394033 352788066 529182099 1058364198