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1412275200 = 21035273771
BaseRepresentation
bin101010000101101…
…1001110000000000
310122102110000100220
41110023121300000
510343020301300
6352045543040
746666066260
oct12413316000
93572400326
101412275200
11665213296
12334b74a80
13196788acb
14d57c97a0
1583ebbda0
hex542d9c00

1412275200 has 528 divisors, whose sum is σ = 5555787264. Its totient is φ = 309657600.

The previous prime is 1412275159. The next prime is 1412275213. The reversal of 1412275200 is 25722141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 19891165 + ... + 19891235.

Almost surely, 21412275200 is an apocalyptic number.

1412275200 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 1412275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2777893632).

1412275200 is an abundant number, since it is smaller than the sum of its proper divisors (4143512064).

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

1412275200 is a wasteful number, since it uses less digits than its factorization.

1412275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 1412275200 is about 37580.2501322171. The cubic root of 1412275200 is about 1121.9489874208.

Adding to 1412275200 its reverse (25722141), we get a palindrome (1437997341).

The spelling of 1412275200 in words is "one billion, four hundred twelve million, two hundred seventy-five thousand, two hundred".