Search a number
-
+
1820398032 = 243241308333
BaseRepresentation
bin110110010000001…
…0001000111010000
311200212101210122100
41230200101013100
512212010214112
6500345240400
763053061615
oct15440210720
94625353570
101820398032
11854626a92
12429793100
132301b26cb
14133aa650c
15a9c372dc
hex6c8111d0

1820398032 has 60 divisors (see below), whose sum is σ = 5218861284. Its totient is φ = 591997440.

The previous prime is 1820398009. The next prime is 1820398057. The reversal of 1820398032 is 2308930281.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 34152336 + 1786245696 = 5844^2 + 42264^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148263 + ... + 160070.

Almost surely, 21820398032 is an apocalyptic number.

1820398032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1820398032 is an abundant number, since it is smaller than the sum of its proper divisors (3398463252).

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

1820398032 is a wasteful number, since it uses less digits than its factorization.

1820398032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308388 (or 308379 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1820398032 is about 42666.1227673666. The cubic root of 1820398032 is about 1221.0181485469.

The spelling of 1820398032 in words is "one billion, eight hundred twenty million, three hundred ninety-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 308333 616666 924999 1233332 1849998 2466664 2774997 3699996 4933328 5549994 7399992 11099988 12641653 14799984 22199976 25283306 37924959 44399952 50566612 75849918 101133224 113774877 151699836 202266448 227549754 303399672 455099508 606799344 910199016 1820398032