Search a number
-
+
1418050800 = 2437521621
BaseRepresentation
bin101010010000101…
…1011110011110000
310122211022110000000
41110201123303300
510401010111200
6352413430000
750066142615
oct12441336360
93584273000
101418050800
116684a8611
12336a9b300
13197a2b91a
14d649050c
158475d300
hex5485bcf0

1418050800 has 240 divisors, whose sum is σ = 5112673760. Its totient is φ = 377913600.

The previous prime is 1418050793. The next prime is 1418050817. The reversal of 1418050800 is 80508141.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 873990 + ... + 875610.

Almost surely, 21418050800 is an apocalyptic number.

1418050800 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 1418050800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556336880).

1418050800 is an abundant number, since it is smaller than the sum of its proper divisors (3694622960).

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

1418050800 is an equidigital number, since it uses as much as digits as its factorization.

1418050800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 1418050800 is about 37657.0152826801. The cubic root of 1418050800 is about 1123.4763373335.

Adding to 1418050800 its reverse (80508141), we get a palindrome (1498558941).

It can be divided in two parts, 14180 and 50800, that added together give a triangular number (64980 = T360).

The spelling of 1418050800 in words is "one billion, four hundred eighteen million, fifty thousand, eight hundred".