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130427264 = 2711175449
BaseRepresentation
bin1111100011000…
…10100110000000
3100002102101120102
413301202212000
5231342133024
620535301532
73142420262
oct761424600
9302371512
10130427264
1167693a30
123781a8a8
13210380c6
1413471b32
15b6b51ae
hex7c62980

130427264 has 64 divisors (see below), whose sum is σ = 300186000. Its totient is φ = 55787520.

The previous prime is 130427263. The next prime is 130427293. The reversal of 130427264 is 462724031.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1304272642 = 34022542389051392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130427263) 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, 21212 + ... + 26660.

Almost surely, 2130427264 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 130427264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150093000).

130427264 is an abundant number, since it is smaller than the sum of its proper divisors (169758736).

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

130427264 is a wasteful number, since it uses less digits than its factorization.

130427264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5491 (or 5479 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 130427264 is about 11420.4756468371. The cubic root of 130427264 is about 507.1340777502.

The spelling of 130427264 in words is "one hundred thirty million, four hundred twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 272 352 374 544 704 748 1088 1408 1496 2176 2992 5449 5984 10898 11968 21796 23936 43592 59939 87184 92633 119878 174368 185266 239756 348736 370532 479512 697472 741064 959024 1018963 1482128 1918048 2037926 2964256 3836096 4075852 5928512 7672192 8151704 11857024 16303408 32606816 65213632 130427264