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1420496000 = 27537111153
BaseRepresentation
bin101010010101011…
…0000110010000000
310122222220200011222
41110222300302000
510402121333000
6352542054212
750126005520
oct12452606200
93588820158
101420496000
11669918740
1233787a368
131983a68a1
14d6929680
1584a92a85
hex54ab0c80

1420496000 has 256 divisors, whose sum is σ = 4406987520. Its totient is φ = 442368000.

The previous prime is 1420495997. The next prime is 1420496027. The reversal of 1420496000 is 6940241.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 1231424 + ... + 1232576.

It is an arithmetic number, because the mean of its divisors is an integer number (17214795).

Almost surely, 21420496000 is an apocalyptic number.

1420496000 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 1420496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203493760).

1420496000 is an abundant number, since it is smaller than the sum of its proper divisors (2986491520).

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

1420496000 is a wasteful number, since it uses less digits than its factorization.

1420496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 1420496000 is about 37689.4680249005. The cubic root of 1420496000 is about 1124.1217177998.

The spelling of 1420496000 in words is "one billion, four hundred twenty million, four hundred ninety-six thousand".