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1073968 = 24743223
BaseRepresentation
bin100000110001100110000
32000120012121
410012030300
5233331333
635004024
712062050
oct4061460
92016177
101073968
11673985
12439614
132b7aac
141dd560
1516332d
hex106330

1073968 has 40 divisors (see below), whose sum is σ = 2444288. Its totient is φ = 447552.

The previous prime is 1073953. The next prime is 1073983. The reversal of 1073968 is 8693701.

It is an interprime number because it is at equal distance from previous prime (1073953) and next prime (1073983).

It is an Ulam number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4705 + ... + 4927.

21073968 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 1073968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222144).

1073968 is an abundant number, since it is smaller than the sum of its proper divisors (1370320).

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

1073968 is a wasteful number, since it uses less digits than its factorization.

1073968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 1073968 is about 1036.3242735746. The cubic root of 1073968 is about 102.4071894366.

The spelling of 1073968 in words is "one million, seventy-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 172 223 301 344 446 602 688 892 1204 1561 1784 2408 3122 3568 4816 6244 9589 12488 19178 24976 38356 67123 76712 134246 153424 268492 536984 1073968