Search a number
-
+
1031264 = 25133767
BaseRepresentation
bin11111011110001100000
31221101121222
43323301200
5231000024
634034212
711523413
oct3736140
91841558
101031264
11644893
12418968
132a1520
141cbb7a
1515585e
hexfbc60

1031264 has 48 divisors (see below), whose sum is σ = 2279088. Its totient is φ = 456192.

The previous prime is 1031231. The next prime is 1031267. The reversal of 1031264 is 4621301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15359 + ... + 15425.

It is an arithmetic number, because the mean of its divisors is an integer number (47481).

21031264 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 1031264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139544).

1031264 is an abundant number, since it is smaller than the sum of its proper divisors (1247824).

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

1031264 is a wasteful number, since it uses less digits than its factorization.

1031264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1031264 is about 1015.5116936796. The cubic root of 1031264 is about 101.0314577043.

Adding to 1031264 its reverse (4621301), we get a palindrome (5652565).

The spelling of 1031264 in words is "one million, thirty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 37 52 67 74 104 134 148 208 268 296 416 481 536 592 871 962 1072 1184 1742 1924 2144 2479 3484 3848 4958 6968 7696 9916 13936 15392 19832 27872 32227 39664 64454 79328 128908 257816 515632 1031264