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1400812000 = 2553731021
BaseRepresentation
bin101001101111110…
…1011000111100000
310121121212121210221
41103133223013200
510332101441000
6351000132424
746466464000
oct12337530740
93547777727
101400812000
116597a3875
12331167114
131942a4253
14d4084000
1582ea561a
hex537eb1e0

1400812000 has 192 divisors, whose sum is σ = 4017686400. Its totient is φ = 479808000.

The previous prime is 1400811977. The next prime is 1400812001. The reversal of 1400812000 is 2180041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400812001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1371490 + ... + 1372510.

It is an arithmetic number, because the mean of its divisors is an integer number (20925450).

Almost surely, 21400812000 is an apocalyptic number.

1400812000 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 1400812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008843200).

1400812000 is an abundant number, since it is smaller than the sum of its proper divisors (2616874400).

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

1400812000 is an equidigital number, since it uses as much as digits as its factorization.

1400812000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1400812000 is about 37427.4231012502. The cubic root of 1400812000 is about 1118.9051801429.

Adding to 1400812000 its reverse (2180041), we get a palindrome (1402992041).

The spelling of 1400812000 in words is "one billion, four hundred million, eight hundred twelve thousand".