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BaseRepresentation
bin10000011110
31110001
4100132
513204
64514
73034
oct2036
91401
101054
11879
1273a
13631
14554
154a4
hex41e

• 10542 = 1110916 is the smallest square that contains exactly four digits '1'.

1054 has 8 divisors (see below), whose sum is σ = 1728. Its totient is φ = 480.

The previous prime is 1051. The next prime is 1061. The reversal of 1054 is 4501.

1054 = T25 + T26 + T27.

1054 is nontrivially palindromic in base 15.

1054 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×10542 = 2221832, which contains 22 as substring.

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

1054 is an undulating number in base 15.

1054 is strictly pandigital in base 5.

It is a nialpdrome in base 13 and base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 1054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1051) 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, 19 + ... + 49.

It is an arithmetic number, because the mean of its divisors is an integer number (216).

1054 is the 27-th centered triangular number.

1054 is a deficient number, since it is larger than the sum of its proper divisors (674).

1054 is a wasteful number, since it uses less digits than its factorization.

1054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50.

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 1054 is about 32.4653661615. The cubic root of 1054 is about 10.1768538338.

Adding to 1054 its reverse (4501), we get a palindrome (5555).

It can be divided in two parts, 10 and 54, that added together give a 6-th power (64 = 26).

The spelling of 1054 in words is "one thousand, fifty-four".

Divisors: 1 2 17 31 34 62 527 1054