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1070496 = 2534759
BaseRepresentation
bin100000101010110100000
32000101110000
410011112200
5233223441
634540000
712045660
oct4052640
92011400
101070496
11671309
12437600
132b633b
141dc1a0
151622b6
hex1055a0

1070496 has 120 divisors (see below), whose sum is σ = 3659040. Its totient is φ = 300672.

The previous prime is 1070491. The next prime is 1070497. The reversal of 1070496 is 6940701.

It is a super-2 number, since 2×10704962 = 2291923372032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1070491) 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 19 ways as a sum of consecutive naturals, for example, 18115 + ... + 18173.

It is an arithmetic number, because the mean of its divisors is an integer number (30492).

21070496 is an apocalyptic number.

1070496 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 1070496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829520).

1070496 is an abundant number, since it is smaller than the sum of its proper divisors (2588544).

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

1070496 is an equidigital number, since it uses as much as digits as its factorization.

1070496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1070496 is about 1034.6477661504. The cubic root of 1070496 is about 102.2967138890.

The spelling of 1070496 in words is "one million, seventy thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 59 63 72 81 84 96 108 112 118 126 144 162 168 177 189 216 224 236 252 288 324 336 354 378 413 432 472 504 531 567 648 672 708 756 826 864 944 1008 1062 1134 1239 1296 1416 1512 1593 1652 1888 2016 2124 2268 2478 2592 2832 3024 3186 3304 3717 4248 4536 4779 4956 5664 6048 6372 6608 7434 8496 9072 9558 9912 11151 12744 13216 14868 16992 18144 19116 19824 22302 25488 29736 33453 38232 39648 44604 50976 59472 66906 76464 89208 118944 133812 152928 178416 267624 356832 535248 1070496