Search a number
-
+
1267136 = 26131523
BaseRepresentation
bin100110101010111000000
32101101011222
410311113000
5311022021
643054212
713525163
oct4652700
92341158
101267136
11796022
12511368
133549b0
1424dada
151a06ab
hex1355c0

1267136 has 28 divisors (see below), whose sum is σ = 2709672. Its totient is φ = 584448.

The previous prime is 1267127. The next prime is 1267151. The reversal of 1267136 is 6317621.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71 + ... + 1593.

It is an arithmetic number, because the mean of its divisors is an integer number (96774).

21267136 is an apocalyptic number.

1267136 is a gapful number since it is divisible by the number (16) 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 1267136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354836).

1267136 is an abundant number, since it is smaller than the sum of its proper divisors (1442536).

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

1267136 is a wasteful number, since it uses less digits than its factorization.

1267136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 1538 counting only the distinct ones).

The product of its digits is 1512, while the sum is 26.

The square root of 1267136 is about 1125.6713552365. The cubic root of 1267136 is about 108.2117473519.

The spelling of 1267136 in words is "one million, two hundred sixty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 1523 3046 6092 12184 19799 24368 39598 48736 79196 97472 158392 316784 633568 1267136