Search a number
-
+
1263808 = 26721331
BaseRepresentation
bin100110100100011000000
32101012121201
410310203000
5310420213
643030544
713512400
oct4644300
92335551
101263808
11793577
1250b454
13353320
1424c800
1519e6dd
hex1348c0

1263808 has 84 divisors (see below), whose sum is σ = 3243072. Its totient is φ = 483840.

The previous prime is 1263803. The next prime is 1263817. The reversal of 1263808 is 8083621.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1263803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40753 + ... + 40783.

It is an arithmetic number, because the mean of its divisors is an integer number (38608).

21263808 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 1263808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621536).

1263808 is an abundant number, since it is smaller than the sum of its proper divisors (1979264).

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

1263808 is a wasteful number, since it uses less digits than its factorization.

1263808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 1263808 is about 1124.1921543935. The cubic root of 1263808 is about 108.1169286857.

The spelling of 1263808 in words is "one million, two hundred sixty-three thousand, eight hundred eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 49 52 56 62 64 91 98 104 112 124 182 196 208 217 224 248 364 392 403 416 434 448 496 637 728 784 806 832 868 992 1274 1456 1519 1568 1612 1736 1984 2548 2821 2912 3038 3136 3224 3472 5096 5642 5824 6076 6448 6944 10192 11284 12152 12896 13888 19747 20384 22568 24304 25792 39494 40768 45136 48608 78988 90272 97216 157976 180544 315952 631904 1263808