Search a number
-
+
1054768 = 241113461
BaseRepresentation
bin100000001100000110000
31222120212111
410001200300
5232223033
634335104
711652061
oct4014060
91876774
101054768
11660510
1242a494
132ac130
141d6568
1515c7cd
hex101830

1054768 has 40 divisors (see below), whose sum is σ = 2406096. Its totient is φ = 441600.

The previous prime is 1054733. The next prime is 1054769. The reversal of 1054768 is 8674501.

It is a super-2 number, since 2×10547682 = 2225071067648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1054769) 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 7 ways as a sum of consecutive naturals, for example, 2058 + ... + 2518.

21054768 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 1054768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203048).

1054768 is an abundant number, since it is smaller than the sum of its proper divisors (1351328).

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

1054768 is a wasteful number, since it uses less digits than its factorization.

1054768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 1054768 is about 1027.0189871663. The cubic root of 1054768 is about 101.7932503119.

The spelling of 1054768 in words is "one million, fifty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 461 572 922 1144 1844 2288 3688 5071 5993 7376 10142 11986 20284 23972 40568 47944 65923 81136 95888 131846 263692 527384 1054768