Search a number
-
+
1418235000 = 233547131039
BaseRepresentation
bin101010010001000…
…1000110001111000
310122211122210200020
41110202020301320
510401032010000
6352421410440
750100540630
oct12442106170
93584583606
101418235000
11668613a46
12336b69a20
13197a94710
14d64db6c0
1584797ba0
hex54888c78

1418235000 has 320 divisors, whose sum is σ = 5458252800. Its totient is φ = 298944000.

The previous prime is 1418234959. The next prime is 1418235037. The reversal of 1418235000 is 5328141.

It is a super-2 number, since 2×14182350002 = 4022781030450000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1364481 + ... + 1365519.

It is an arithmetic number, because the mean of its divisors is an integer number (17057040).

Almost surely, 21418235000 is an apocalyptic number.

1418235000 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 1418235000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729126400).

1418235000 is an abundant number, since it is smaller than the sum of its proper divisors (4040017800).

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

1418235000 is a wasteful number, since it uses less digits than its factorization.

1418235000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1418235000 is about 37659.4609626851. The cubic root of 1418235000 is about 1123.5249804854.

The spelling of 1418235000 in words is "one billion, four hundred eighteen million, two hundred thirty-five thousand".