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1075216 = 24175967
BaseRepresentation
bin100000110100000010000
32000121220211
410012200100
5233401331
635013504
712065512
oct4064020
92017824
101075216
1167490a
1243a294
132b852c
141ddbb2
151638b1
hex106810

1075216 has 40 divisors (see below), whose sum is σ = 2276640. Its totient is φ = 489984.

The previous prime is 1075201. The next prime is 1075231. The reversal of 1075216 is 6125701.

It is an interprime number because it is at equal distance from previous prime (1075201) and next prime (1075231).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16015 + ... + 16081.

It is an arithmetic number, because the mean of its divisors is an integer number (56916).

21075216 is an apocalyptic number.

1075216 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 1075216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138320).

1075216 is an abundant number, since it is smaller than the sum of its proper divisors (1201424).

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

1075216 is a wasteful number, since it uses less digits than its factorization.

1075216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 1075216 is about 1036.9262268841. The cubic root of 1075216 is about 102.4468413628.

The spelling of 1075216 in words is "one million, seventy-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 17 34 59 67 68 118 134 136 236 268 272 472 536 944 1003 1072 1139 2006 2278 3953 4012 4556 7906 8024 9112 15812 16048 18224 31624 63248 67201 134402 268804 537608 1075216