Search a number
-
+
1423952400 = 2435213372467
BaseRepresentation
bin101010011011111…
…1100101000010000
310200020102021110210
41110313330220100
510404012434100
6353144124120
750200252503
oct12467745020
93606367423
101423952400
11670869572
12338a66640
13199016bb0
14d718913a
1585026c50
hex54dfca10

1423952400 has 240 divisors, whose sum is σ = 5047079744. Its totient is φ = 340899840.

The previous prime is 1423952393. The next prime is 1423952417. The reversal of 1423952400 is 42593241.

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 (30).

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, 575967 + ... + 578433.

Almost surely, 21423952400 is an apocalyptic number.

1423952400 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 1423952400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2523539872).

1423952400 is an abundant number, since it is smaller than the sum of its proper divisors (3623127344).

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

1423952400 is a wasteful number, since it uses less digits than its factorization.

1423952400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538 (or 2527 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1423952400 is about 37735.2938242171. The cubic root of 1423952400 is about 1125.0327299120.

The spelling of 1423952400 in words is "one billion, four hundred twenty-three million, nine hundred fifty-two thousand, four hundred".