Search a number
-
+
1030644007 = 231511671777
BaseRepresentation
bin111101011011100…
…110000100100111
32122211100010210021
4331123212010213
54102321102012
6250134140011
734353221011
oct7533460447
92584303707
101030644007
11489854108
122491b1607
131356a9333
149ac471b1
1560736007
hex3d6e6127

1030644007 has 16 divisors (see below), whose sum is σ = 1089672192. Its totient is φ = 972892800.

The previous prime is 1030644001. The next prime is 1030644061. The reversal of 1030644007 is 7004460301.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1030644007 is a prime.

It is a super-3 number, since 3×10306440073 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030644001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 579103 + ... + 580879.

It is an arithmetic number, because the mean of its divisors is an integer number (68104512).

Almost surely, 21030644007 is an apocalyptic number.

1030644007 is a deficient number, since it is larger than the sum of its proper divisors (59028185).

1030644007 is a wasteful number, since it uses less digits than its factorization.

1030644007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118.

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 1030644007 is about 32103.6447619270. The cubic root of 1030644007 is about 1010.1120703665.

The spelling of 1030644007 in words is "one billion, thirty million, six hundred forty-four thousand, seven".

Divisors: 1 23 151 167 1777 3473 3841 25217 40871 268327 296759 579991 6171521 6825457 44810609 1030644007