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1054729 = 132792
BaseRepresentation
bin100000001100000001001
31222120211001
410001200021
5232222404
634335001
711652004
oct4014011
91876731
101054729
11660485
1242a461
132ac100
141d653b
1515c7a4
hex101809

1054729 has 9 divisors (see below), whose sum is σ = 1156743. Its totient is φ = 961272.

The previous prime is 1054723. The next prime is 1054733. The reversal of 1054729 is 9274501.

It is a happy number.

The square root of 1054729 is 1027.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 156025 + 898704 = 395^2 + 948^2 .

It is not a de Polignac number, because 1054729 - 23 = 1054721 is a prime.

It is a super-2 number, since 2×10547292 = 2224906526882, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

1054729 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 1054697 and 1054706.

It is not an unprimeable number, because it can be changed into a prime (1054721) 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 8 ways as a sum of consecutive naturals, for example, 13312 + ... + 13390.

It is an arithmetic number, because the mean of its divisors is an integer number (128527).

21054729 is an apocalyptic number.

1054729 is the 1027-th square number.

1054729 is the 514-th centered octagonal number.

It is an amenable number.

1054729 is a deficient number, since it is larger than the sum of its proper divisors (102014).

1054729 is an frugal number, since it uses more digits than its factorization.

1054729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The cubic root of 1054729 is about 101.7919956961.

The spelling of 1054729 in words is "one million, fifty-four thousand, seven hundred twenty-nine".

Divisors: 1 13 79 169 1027 6241 13351 81133 1054729