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1327713296 = 247131316961
BaseRepresentation
bin100111100100011…
…0100110000010000
310102112022211020112
41033020310300100
510204343311141
6335425300452
744621243150
oct11710646020
93375284215
101327713296
11621506718
12310794728
131820bc190
14c8496760
157b8667eb
hex4f234c10

1327713296 has 80 divisors (see below), whose sum is σ = 3190712448. Its totient is φ = 521164800.

The previous prime is 1327713287. The next prime is 1327713307. The reversal of 1327713296 is 6923177231.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187256 + ... + 194216.

Almost surely, 21327713296 is an apocalyptic number.

1327713296 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 1327713296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595356224).

1327713296 is an abundant number, since it is smaller than the sum of its proper divisors (1862999152).

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

1327713296 is a wasteful number, since it uses less digits than its factorization.

1327713296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7120 (or 7114 counting only the distinct ones).

The product of its digits is 95256, while the sum is 41.

The square root of 1327713296 is about 36437.8003726899. The cubic root of 1327713296 is about 1099.0938256040.

The spelling of 1327713296 in words is "one billion, three hundred twenty-seven million, seven hundred thirteen thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 131 182 208 262 364 524 728 917 1048 1456 1703 1834 2096 3406 3668 6812 6961 7336 11921 13624 13922 14672 23842 27248 27844 47684 48727 55688 90493 95368 97454 111376 180986 190736 194908 361972 389816 633451 723944 779632 911891 1266902 1447888 1823782 2533804 3647564 5067608 6383237 7295128 10135216 11854583 12766474 14590256 23709166 25532948 47418332 51065896 82982081 94836664 102131792 165964162 189673328 331928324 663856648 1327713296