Search a number
-
+
1006403464 = 231123113343
BaseRepresentation
bin111011111111000…
…111111110001000
32121010201121000101
4323333013332020
54030114402324
6243510415144
733640200613
oct7377077610
92533647011
101006403464
114770a7900
122410614b4
1313066ca11
149793717a
155d548944
hex3bfc7f88

1006403464 has 48 divisors (see below), whose sum is σ = 2081439360. Its totient is φ = 455848800.

The previous prime is 1006403423. The next prime is 1006403471. The reversal of 1006403464 is 4643046001.

It is a happy number.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 299377 + ... + 302719.

It is an arithmetic number, because the mean of its divisors is an integer number (43363320).

Almost surely, 21006403464 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 1006403464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040719680).

1006403464 is an abundant number, since it is smaller than the sum of its proper divisors (1075035896).

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

1006403464 is a wasteful number, since it uses less digits than its factorization.

1006403464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3682 (or 3667 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 1006403464 is about 31723.8626904102. The cubic root of 1006403464 is about 1002.1299481001.

Adding to 1006403464 its reverse (4643046001), we get a palindrome (5649449465).

The spelling of 1006403464 in words is "one billion, six million, four hundred three thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 311 484 622 968 1244 2488 3343 3421 6686 6842 13372 13684 26744 27368 36773 37631 73546 75262 147092 150524 294184 301048 404503 809006 1039673 1618012 2079346 3236024 4158692 8317384 11436403 22872806 45745612 91491224 125800433 251600866 503201732 1006403464