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1054064 = 241153113
BaseRepresentation
bin100000001010101110000
31222112220102
410001111300
5232212224
634331532
711650034
oct4012560
91875812
101054064
1165aa30
12429ba8
132aba0b
141d61c4
1515c4ae
hex101570

1054064 has 40 divisors (see below), whose sum is σ = 2290032. Its totient is φ = 465920.

The previous prime is 1054061. The next prime is 1054073. The reversal of 1054064 is 4604501.

It is a happy number.

It is a super-2 number, since 2×10540642 = 2222101832192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054061) 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, 9272 + ... + 9384.

21054064 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 1054064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145016).

1054064 is an abundant number, since it is smaller than the sum of its proper divisors (1235968).

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

1054064 is a wasteful number, since it uses less digits than its factorization.

1054064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1054064 is about 1026.6761904320. The cubic root of 1054064 is about 101.7705981275.

Adding to 1054064 its reverse (4604501), we get a palindrome (5658565).

The spelling of 1054064 in words is "one million, fifty-four thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 113 176 212 226 424 452 583 848 904 1166 1243 1808 2332 2486 4664 4972 5989 9328 9944 11978 19888 23956 47912 65879 95824 131758 263516 527032 1054064