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1070384 = 24719503
BaseRepresentation
bin100000101010100110000
32000101021212
410011110300
5233223014
634535252
712045440
oct4052460
92011255
101070384
11671217
12437528
132b6283
141dc120
1516223e
hex105530

1070384 has 40 divisors (see below), whose sum is σ = 2499840. Its totient is φ = 433728.

The previous prime is 1070369. The next prime is 1070389. The reversal of 1070384 is 4830701.

It is a happy number.

It is a super-2 number, since 2×10703842 = 2291443814912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1070389) 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 7 ways as a sum of consecutive naturals, for example, 1877 + ... + 2379.

It is an arithmetic number, because the mean of its divisors is an integer number (62496).

21070384 is an apocalyptic number.

1070384 is a gapful number since it is divisible by the number (14) 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 1070384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249920).

1070384 is an abundant number, since it is smaller than the sum of its proper divisors (1429456).

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

1070384 is a wasteful number, since it uses less digits than its factorization.

1070384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 531 counting only the distinct ones).

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

The square root of 1070384 is about 1034.5936400346. The cubic root of 1070384 is about 102.2931461872.

The spelling of 1070384 in words is "one million, seventy thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 503 532 1006 1064 2012 2128 3521 4024 7042 8048 9557 14084 19114 28168 38228 56336 66899 76456 133798 152912 267596 535192 1070384