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1075072 = 2737227
BaseRepresentation
bin100000110011110000000
32000121201111
410012132000
5233400242
635013104
712065215
oct4063600
92017644
101075072
11674799
1243a194
132b844b
141ddb0c
15163817
hex106780

1075072 has 32 divisors (see below), whose sum is σ = 2209320. Its totient is φ = 520704.

The previous prime is 1075069. The next prime is 1075073. The reversal of 1075072 is 2705701.

It is a tau number, because it is divible by the number of its divisors (32).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1075073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4623 + ... + 4849.

21075072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1075072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104660).

1075072 is an abundant number, since it is smaller than the sum of its proper divisors (1134248).

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

1075072 is an equidigital number, since it uses as much as digits as its factorization.

1075072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 22.

The square root of 1075072 is about 1036.8567885682. The cubic root of 1075072 is about 102.4422677070.

The spelling of 1075072 in words is "one million, seventy-five thousand, seventy-two".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 227 296 454 592 908 1184 1816 2368 3632 4736 7264 8399 14528 16798 29056 33596 67192 134384 268768 537536 1075072