[go: up one dir, main page]

Search a number
-
+
1030640 = 24513991
BaseRepresentation
bin11111011100111110000
31221100202212
43323213300
5230440030
634031252
711521532
oct3734760
91840685
101030640
11644376
12418528
132a1160
141cb852
15155595
hexfb9f0

1030640 has 40 divisors (see below), whose sum is σ = 2583168. Its totient is φ = 380160.

The previous prime is 1030639. The next prime is 1030643. The reversal of 1030640 is 460301.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030643) 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, 545 + ... + 1535.

21030640 is an apocalyptic number.

1030640 is a gapful number since it is divisible by the number (10) 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 1030640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291584).

1030640 is an abundant number, since it is smaller than the sum of its proper divisors (1552528).

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

1030640 is a wasteful number, since it uses less digits than its factorization.

1030640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1011 counting only the distinct ones).

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

The square root of 1030640 is about 1015.2044129140. The cubic root of 1030640 is about 101.0110761307.

Adding to 1030640 its reverse (460301), we get a palindrome (1490941).

The spelling of 1030640 in words is "one million, thirty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 991 1040 1982 3964 4955 7928 9910 12883 15856 19820 25766 39640 51532 64415 79280 103064 128830 206128 257660 515320 1030640