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1801296 = 243271787
BaseRepresentation
bin110110111110001010000
310101111220200
412313301100
5430120141
6102335200
721211410
oct6676120
93344820
101801296
111020382
1272a500
134b0b73
1434c640
15258ab6
hex1b7c50

1801296 has 60 divisors (see below), whose sum is σ = 5764512. Its totient is φ = 514368.

The previous prime is 1801273. The next prime is 1801297. The reversal of 1801296 is 6921081.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1801297) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 115 + ... + 1901.

21801296 is an apocalyptic number.

1801296 is a gapful number since it is divisible by the number (16) 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 1801296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882256).

1801296 is an abundant number, since it is smaller than the sum of its proper divisors (3963216).

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

1801296 is a wasteful number, since it uses less digits than its factorization.

1801296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1801296 is about 1342.1236902760. The cubic root of 1801296 is about 121.6732274772.

The spelling of 1801296 in words is "one million, eight hundred one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1787 3574 5361 7148 10722 12509 14296 16083 21444 25018 28592 32166 37527 42888 50036 64332 75054 85776 100072 112581 128664 150108 200144 225162 257328 300216 450324 600432 900648 1801296