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1421481600 = 273252711641
BaseRepresentation
bin101010010111010…
…0001011010000000
310200001202202011200
41110232201122000
510402344402400
6353015141200
750140252140
oct12456413200
93601682150
101421481600
1166a431190
12338074800
13198660396
14d6b04920
1584bd9b00
hex54ba1680

1421481600 has 576 divisors, whose sum is σ = 6333612480. Its totient is φ = 294912000.

The previous prime is 1421481587. The next prime is 1421481601. The reversal of 1421481600 is 61841241.

It is a happy number.

1421481600 is a `hidden beast` number, since 1 + 42 + 14 + 8 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1421481601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2217280 + ... + 2217920.

It is an arithmetic number, because the mean of its divisors is an integer number (10995855).

Almost surely, 21421481600 is an apocalyptic number.

1421481600 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 1421481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3166806240).

1421481600 is an abundant number, since it is smaller than the sum of its proper divisors (4912130880).

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

1421481600 is a wasteful number, since it uses less digits than its factorization.

1421481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1421481600 is about 37702.5410284241. The cubic root of 1421481600 is about 1124.3816453697.

The spelling of 1421481600 in words is "one billion, four hundred twenty-one million, four hundred eighty-one thousand, six hundred".