Search a number
-
+
1005330248 = 231331311827
BaseRepresentation
bin111011111011000…
…001111101001000
32121001201001211122
4323323001331020
54024331031443
6243431414412
733625110656
oct7373017510
92531631748
101005330248
1147653454a
12240824408
13130385390
1497737dd6
155d3d5968
hex3bec1f48

1005330248 has 32 divisors (see below), whose sum is σ = 2095484160. Its totient is φ = 449029440.

The previous prime is 1005330247. The next prime is 1005330257. The reversal of 1005330248 is 8420335001.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (1005330247) 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 7 ways as a sum of consecutive naturals, for example, 152690 + ... + 159137.

It is an arithmetic number, because the mean of its divisors is an integer number (65483880).

Almost surely, 21005330248 is an apocalyptic number.

It is an amenable number.

1005330248 is an abundant number, since it is smaller than the sum of its proper divisors (1090153912).

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

1005330248 is a wasteful number, since it uses less digits than its factorization.

1005330248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311877 (or 311873 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 1005330248 is about 31706.9432143813. The cubic root of 1005330248 is about 1001.7736018102.

Adding to 1005330248 its reverse (8420335001), we get a palindrome (9425665249).

The spelling of 1005330248 in words is "one billion, five million, three hundred thirty thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 248 403 806 1612 3224 311827 623654 1247308 2494616 4053751 8107502 9666637 16215004 19333274 32430008 38666548 77333096 125666281 251332562 502665124 1005330248