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1053984 = 25310979
BaseRepresentation
bin100000001010100100000
31222112210110
410001110200
5232211414
634331320
711646561
oct4012440
91875713
101053984
1165a968
12429b40
132ab979
141d6168
1515c459
hex101520

1053984 has 24 divisors (see below), whose sum is σ = 2766960. Its totient is φ = 351296.

The previous prime is 1053971. The next prime is 1053989. The reversal of 1053984 is 4893501.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×10539842 = 2221764544512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1053989) 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 3 ways as a sum of consecutive naturals, for example, 5394 + ... + 5585.

It is an arithmetic number, because the mean of its divisors is an integer number (115290).

21053984 is an apocalyptic number.

It is an amenable number.

1053984 is an abundant number, since it is smaller than the sum of its proper divisors (1712976).

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

1053984 is a wasteful number, since it uses less digits than its factorization.

1053984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10992 (or 10984 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1053984 is about 1026.6372290152. The cubic root of 1053984 is about 101.7680233775.

The spelling of 1053984 in words is "one million, fifty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 10979 21958 32937 43916 65874 87832 131748 175664 263496 351328 526992 1053984