Search a number
-
+
1421303400 = 23325211233121
BaseRepresentation
bin101010010110111…
…0101111001101000
310200001102200201200
41110231311321220
510402323202100
6353011244200
750135610456
oct12455657150
93601380650
101421303400
1166a31a310
12337ba9660
131985ca23a
14d6a999d6
1584ba1e00
hex54b75e68

1421303400 has 288 divisors, whose sum is σ = 5435277120. Its totient is φ = 329472000.

The previous prime is 1421303399. The next prime is 1421303431. The reversal of 1421303400 is 43031241.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 453840 + ... + 456960.

It is an arithmetic number, because the mean of its divisors is an integer number (18872490).

Almost surely, 21421303400 is an apocalyptic number.

1421303400 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 1421303400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2717638560).

1421303400 is an abundant number, since it is smaller than the sum of its proper divisors (4013973720).

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

1421303400 is a wasteful number, since it uses less digits than its factorization.

1421303400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3177 (or 3165 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1421303400 is about 37700.1777184140. The cubic root of 1421303400 is about 1124.3346584366.

Adding to 1421303400 its reverse (43031241), we get a palindrome (1464334641).

It can be divided in two parts, 142130 and 3400, that added together give a triangular number (145530 = T539).

The spelling of 1421303400 in words is "one billion, four hundred twenty-one million, three hundred three thousand, four hundred".