Search a number
-
+
1264596424 = 2371313912497
BaseRepresentation
bin100101101100000…
…0011010111001000
310021010120011011121
41023120003113020
510042214041144
6325252405024
743223615020
oct11330032710
93233504147
101264596424
11599917013
122b3616774
13171cc0610
14bdd46a80
157604a384
hex4b6035c8

1264596424 has 64 divisors (see below), whose sum is σ = 2939529600. Its totient is φ = 496641024.

The previous prime is 1264596401. The next prime is 1264596427. The reversal of 1264596424 is 4246954621.

It is not an unprimeable number, because it can be changed into a prime (1264596427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94944 + ... + 107440.

It is an arithmetic number, because the mean of its divisors is an integer number (45930150).

Almost surely, 21264596424 is an apocalyptic number.

1264596424 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 1264596424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469764800).

1264596424 is an abundant number, since it is smaller than the sum of its proper divisors (1674933176).

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

1264596424 is a wasteful number, since it uses less digits than its factorization.

1264596424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12662 (or 12658 counting only the distinct ones).

The product of its digits is 414720, while the sum is 43.

The square root of 1264596424 is about 35561.1645478604. The cubic root of 1264596424 is about 1081.3940685263.

The spelling of 1264596424 in words is "one billion, two hundred sixty-four million, five hundred ninety-six thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 139 182 278 364 556 728 973 1112 1807 1946 3614 3892 7228 7784 12497 12649 14456 24994 25298 49988 50596 87479 99976 101192 162461 174958 324922 349916 649844 699832 1137227 1299688 1737083 2274454 3474166 4548908 6948332 9097816 12159581 13896664 22582079 24319162 45164158 48638324 90328316 97276648 158074553 180656632 316149106 632298212 1264596424