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1030064 = 24717541
BaseRepresentation
bin11111011011110110000
31221022222112
43323132300
5230430224
634024452
711520050
oct3733660
91838875
101030064
116439a2
12418128
132a0b09
141cb560
1515530e
hexfb7b0

1030064 has 40 divisors (see below), whose sum is σ = 2419488. Its totient is φ = 414720.

The previous prime is 1030061. The next prime is 1030067. The reversal of 1030064 is 4600301.

It is an interprime number because it is at equal distance from previous prime (1030061) and next prime (1030067).

It is a super-2 number, since 2×10300642 = 2122063688192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (1030061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1634 + ... + 2174.

21030064 is an apocalyptic number.

1030064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209744).

1030064 is an abundant number, since it is smaller than the sum of its proper divisors (1389424).

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

1030064 is a wasteful number, since it uses less digits than its factorization.

1030064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1030064 is about 1014.9206865563. The cubic root of 1030064 is about 100.9922550673.

Adding to 1030064 its reverse (4600301), we get a palindrome (5630365).

The spelling of 1030064 in words is "one million, thirty thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 541 952 1082 1904 2164 3787 4328 7574 8656 9197 15148 18394 30296 36788 60592 64379 73576 128758 147152 257516 515032 1030064