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1321264 = 24747251
BaseRepresentation
bin101000010100100110000
32111010102201
411002210300
5314240024
644152544
714142040
oct5024460
92433381
101321264
1182275a
12538754
13373519
14265720
151b1744
hex142930

1321264 has 40 divisors (see below), whose sum is σ = 2999808. Its totient is φ = 552000.

The previous prime is 1321259. The next prime is 1321267. The reversal of 1321264 is 4621231.

It is not an unprimeable number, because it can be changed into a prime (1321267) 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 7 ways as a sum of consecutive naturals, for example, 5139 + ... + 5389.

21321264 is an apocalyptic number.

1321264 is a gapful number since it is divisible by the number (14) 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 1321264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499904).

1321264 is an abundant number, since it is smaller than the sum of its proper divisors (1678544).

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

1321264 is a wasteful number, since it uses less digits than its factorization.

1321264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 307 counting only the distinct ones).

The product of its digits is 288, while the sum is 19.

The square root of 1321264 is about 1149.4624830763. The cubic root of 1321264 is about 109.7311339970.

Adding to 1321264 its reverse (4621231), we get a palindrome (5942495).

The spelling of 1321264 in words is "one million, three hundred twenty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 47 56 94 112 188 251 329 376 502 658 752 1004 1316 1757 2008 2632 3514 4016 5264 7028 11797 14056 23594 28112 47188 82579 94376 165158 188752 330316 660632 1321264