Search a number
-
+
1818330120 = 23365127491
BaseRepresentation
bin110110001100001…
…1000010000001000
311200201111202000000
41230120120100020
512210443030440
6500233043000
763026356665
oct15430302010
94621452000
101818330120
11853444372
12428b56460
1322c93a3a9
141336c8a6c
15a9979730
hex6c618408

1818330120 has 224 divisors, whose sum is σ = 6194949120. Its totient is φ = 480090240.

The previous prime is 1818330119. The next prime is 1818330127. The reversal of 1818330120 is 210338181.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1818330127) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3703075 + ... + 3703565.

Almost surely, 21818330120 is an apocalyptic number.

1818330120 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 1818330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3097474560).

1818330120 is an abundant number, since it is smaller than the sum of its proper divisors (4376619000).

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

1818330120 is a wasteful number, since it uses less digits than its factorization.

1818330120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1818330120 is about 42641.8822286259. The cubic root of 1818330120 is about 1220.5556279460. Note that the first 3 decimals are identical.

The spelling of 1818330120 in words is "one billion, eight hundred eighteen million, three hundred thirty thousand, one hundred twenty".