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1421830800 = 2433521321941
BaseRepresentation
bin101010010111111…
…0110101010010000
310200002102111012000
41110233312222100
510402442041200
6353030434000
750143235205
oct12457665220
93602374160
101421830800
1166a64a585
12338202900
13198753300
14d6b95cac
1584c58300
hex54bf6a90

1421830800 has 720 divisors, whose sum is σ = 5908996800. Its totient is φ = 323481600.

The previous prime is 1421830777. The next prime is 1421830801. The reversal of 1421830800 is 80381241.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1421830801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34678780 + ... + 34678820.

It is an arithmetic number, because the mean of its divisors is an integer number (8206940).

Almost surely, 21421830800 is an apocalyptic number.

1421830800 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 1421830800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2954498400).

1421830800 is an abundant number, since it is smaller than the sum of its proper divisors (4487166000).

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

1421830800 is a wasteful number, since it uses less digits than its factorization.

1421830800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 83 counting only the distinct ones).

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

The square root of 1421830800 is about 37707.1717316481. The cubic root of 1421830800 is about 1124.4737093879.

The spelling of 1421830800 in words is "one billion, four hundred twenty-one million, eight hundred thirty thousand, eight hundred".