Search a number
-
+
1820612352 = 28313182353
BaseRepresentation
bin110110010000100…
…0101011100000000
311200212210200122010
41230201011130000
512212034043402
6500354012520
763054643506
oct15441053400
94625720563
101820612352
11854763009
12429877140
13230259120
14133b20676
15a9c7aa6c
hex6c845700

1820612352 has 72 divisors (see below), whose sum is σ = 5218242064. Its totient is φ = 560185344.

The previous prime is 1820612347. The next prime is 1820612359. The reversal of 1820612352 is 2532160281.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1820612359) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 81193 + ... + 101160.

Almost surely, 21820612352 is an apocalyptic number.

1820612352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1820612352 is an abundant number, since it is smaller than the sum of its proper divisors (3397629712).

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

1820612352 is a wasteful number, since it uses less digits than its factorization.

1820612352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182385 (or 182371 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 1820612352 is about 42668.6342879638. The cubic root of 1820612352 is about 1221.0660645037.

The spelling of 1820612352 in words is "one billion, eight hundred twenty million, six hundred twelve thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 3328 4992 9984 182353 364706 547059 729412 1094118 1458824 2188236 2370589 2917648 4376472 4741178 5835296 7111767 8752944 9482356 11670592 14223534 17505888 18964712 23341184 28447068 35011776 37929424 46682368 56894136 70023552 75858848 113788272 140047104 151717696 227576544 303435392 455153088 606870784 910306176 1820612352