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1067144 = 231331331
BaseRepresentation
bin100000100100010001000
32000012211212
410010202020
5233122034
634512252
712033131
oct4044210
92005755
101067144
11669841
12435688
132b4960
141dac88
151612ce
hex104888

1067144 has 32 divisors (see below), whose sum is σ = 2231040. Its totient is φ = 475200.

The previous prime is 1067137. The next prime is 1067147. The reversal of 1067144 is 4417601.

It is a super-2 number, since 2×10671442 = 2277592633472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1067147) by changing a digit.

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, 3059 + ... + 3389.

It is an arithmetic number, because the mean of its divisors is an integer number (69720).

21067144 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 1067144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115520).

1067144 is an abundant number, since it is smaller than the sum of its proper divisors (1163896).

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

1067144 is a wasteful number, since it uses less digits than its factorization.

1067144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 1067144 is about 1033.0266211478. The cubic root of 1067144 is about 102.1898297561.

The spelling of 1067144 in words is "one million, sixty-seven thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 248 331 403 662 806 1324 1612 2648 3224 4303 8606 10261 17212 20522 34424 41044 82088 133393 266786 533572 1067144