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130144704 = 263719547
BaseRepresentation
bin1111100000111…
…01100111000000
3100001220000222020
413300131213000
5231304112304
620525241440
73140132424
oct760354700
9301800866
10130144704
1167510708
1237703280
1320c69601
14133dab84
15b65b5d9
hex7c1d9c0

130144704 has 56 divisors (see below), whose sum is σ = 349227648. Its totient is φ = 42766080.

The previous prime is 130144691. The next prime is 130144709. The reversal of 130144704 is 407441031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130144709) 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 7 ways as a sum of consecutive naturals, for example, 8859 + ... + 18405.

It is an arithmetic number, because the mean of its divisors is an integer number (6236208).

Almost surely, 2130144704 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 130144704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174613824).

130144704 is an abundant number, since it is smaller than the sum of its proper divisors (219082944).

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

130144704 is an equidigital number, since it uses as much as digits as its factorization.

130144704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9633 (or 9623 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 130144704 is about 11408.0981762956. The cubic root of 130144704 is about 506.7675914679.

Adding to 130144704 its reverse (407441031), we get a palindrome (537585735).

The spelling of 130144704 in words is "one hundred thirty million, one hundred forty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 142 192 213 284 426 568 852 1136 1704 2272 3408 4544 6816 9547 13632 19094 28641 38188 57282 76376 114564 152752 229128 305504 458256 611008 677837 916512 1355674 1833024 2033511 2711348 4067022 5422696 8134044 10845392 16268088 21690784 32536176 43381568 65072352 130144704