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1421928000 = 26335329227
BaseRepresentation
bin101010011000000…
…1110011001000000
310200002121102112000
41110300032121000
510403003144000
6353032504000
750144121453
oct12460163100
93602542460
101421928000
1166a706609
1233824b000
1319878861c
14d6bbd49a
1584c77000
hex54c0e640

1421928000 has 448 divisors, whose sum is σ = 5420563200. Its totient is φ = 364492800.

The previous prime is 1421927993. The next prime is 1421928017. The reversal of 1421928000 is 8291241.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6263887 + ... + 6264113.

Almost surely, 21421928000 is an apocalyptic number.

1421928000 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 1421928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710281600).

1421928000 is an abundant number, since it is smaller than the sum of its proper divisors (3998635200).

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

1421928000 is a wasteful number, since it uses less digits than its factorization.

1421928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1421928000 is about 37708.4605891039. The cubic root of 1421928000 is about 1124.4993327729.

The spelling of 1421928000 in words is "one billion, four hundred twenty-one million, nine hundred twenty-eight thousand".