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1818382680 = 233256775389
BaseRepresentation
bin110110001100010…
…0101000101011000
311200201121102002200
41230120211011120
512211001221210
6500234130200
763026666142
oct15430450530
94621542080
101818382680
1185347a904
12428b80960
1322c9582aa
141336ddc92
15a998a0c0
hex6c625158

1818382680 has 96 divisors (see below), whose sum is σ = 5998028400. Its totient is φ = 477658368.

The previous prime is 1818382639. The next prime is 1818382681. The reversal of 1818382680 is 862838181.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1818382681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13575 + ... + 61814.

Almost surely, 21818382680 is an apocalyptic number.

1818382680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1818382680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999014200).

1818382680 is an abundant number, since it is smaller than the sum of its proper divisors (4179645720).

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

1818382680 is a wasteful number, since it uses less digits than its factorization.

1818382680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75473 (or 75466 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 1818382680 is about 42642.4985196693. The cubic root of 1818382680 is about 1220.5673881475.

The spelling of 1818382680 in words is "one billion, eight hundred eighteen million, three hundred eighty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 67 72 90 120 134 180 201 268 335 360 402 536 603 670 804 1005 1206 1340 1608 2010 2412 2680 3015 4020 4824 6030 8040 12060 24120 75389 150778 226167 301556 376945 452334 603112 678501 753890 904668 1130835 1357002 1507780 1809336 2261670 2714004 3015560 3392505 4523340 5051063 5428008 6785010 9046680 10102126 13570020 15153189 20204252 25255315 27140040 30306378 40408504 45459567 50510630 60612756 75765945 90919134 101021260 121225512 151531890 181838268 202042520 227297835 303063780 363676536 454595670 606127560 909191340 1818382680