Search a number
-
+
1419390000 = 2433547751
BaseRepresentation
bin101010010011010…
…0010110000110000
310122220211111001000
41110212202300300
510401330440000
6352502242000
750113421160
oct12446426060
93586744030
101419390000
11669232796
12337426300
131980aa352
14d671c5a0
1584925000
hex549a2c30

1419390000 has 400 divisors, whose sum is σ = 5826135040. Its totient is φ = 324000000.

The previous prime is 1419389999. The next prime is 1419390013. The reversal of 1419390000 is 939141.

It is a tau number, because it is divible by the number of its divisors (400).

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 79 ways as a sum of consecutive naturals, for example, 1889625 + ... + 1890375.

Almost surely, 21419390000 is an apocalyptic number.

1419390000 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 1419390000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913067520).

1419390000 is an abundant number, since it is smaller than the sum of its proper divisors (4406745040).

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

1419390000 is an equidigital number, since it uses as much as digits as its factorization.

1419390000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 1419390000 is about 37674.7926338022. The cubic root of 1419390000 is about 1123.8298945136.

The spelling of 1419390000 in words is "one billion, four hundred nineteen million, three hundred ninety thousand".