Search a number
-
+
1423874400 = 253521347971
BaseRepresentation
bin101010011011110…
…1001100101100000
310200020021022110220
41110313221211200
510404002440100
6353142323040
750166506214
oct12467514540
93606238426
101423874400
11670815a03
12338a29480
13198cba540
14d7168944
158500daa0
hex54de9960

1423874400 has 288 divisors, whose sum is σ = 5102673408. Its totient is φ = 342681600.

The previous prime is 1423874381. The next prime is 1423874407. The reversal of 1423874400 is 44783241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1423874407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1465915 + ... + 1466885.

It is an arithmetic number, because the mean of its divisors is an integer number (17717616).

Almost surely, 21423874400 is an apocalyptic number.

1423874400 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 1423874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551336704).

1423874400 is an abundant number, since it is smaller than the sum of its proper divisors (3678799008).

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

1423874400 is a wasteful number, since it uses less digits than its factorization.

1423874400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 1423874400 is about 37734.2602948567. The cubic root of 1423874400 is about 1125.0121875223.

The spelling of 1423874400 in words is "one billion, four hundred twenty-three million, eight hundred seventy-four thousand, four hundred".