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1125216 = 25323907
BaseRepresentation
bin100010010101101100000
32010011111200
410102231200
5242001331
640041200
712364341
oct4225540
92104450
101125216
116a9434
12463200
13305211
142140c8
151735e6
hex112b60

1125216 has 36 divisors (see below), whose sum is σ = 3200652. Its totient is φ = 374976.

The previous prime is 1125209. The next prime is 1125217. The reversal of 1125216 is 6125211.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×11252162 = 2532222093312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125217) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1666 + ... + 2241.

It is an arithmetic number, because the mean of its divisors is an integer number (88907).

21125216 is an apocalyptic number.

1125216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1125216 is an abundant number, since it is smaller than the sum of its proper divisors (2075436).

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

1125216 is a wasteful number, since it uses less digits than its factorization.

1125216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3923 (or 3912 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 1125216 is about 1060.7619902693. The cubic root of 1125216 is about 104.0108469949.

The spelling of 1125216 in words is "one million, one hundred twenty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3907 7814 11721 15628 23442 31256 35163 46884 62512 70326 93768 125024 140652 187536 281304 375072 562608 1125216